Well, basic physics of hydraulics will tell you it's not the number of cylinders, it's displacement.
But, the basic math goes something like this: If x amount of fluid will move 2 calipers of similar diameter distance y, then if you have 3 calipers, each one will move 2/3 as far. But maybe the pots on yours are a different diameter, which would throw off the whole formula.
But then again, on most of the 2 pot calipers I've seen, one is smaller, so it will move faster, since the same volume of fluid in a cylinder that has a smaller diameter must have a longer length to compensate... as a result, the smaller one hits the rotor first. But I have no idea of knowing on your particular model how big each pot is, so I have no idea if they'll move faster or slower.
Maybe they're all bigger, so they move slower, but with more force. Or maybe they're smaller, and faster, and 3 fast ones will grab as well as 2 slow ones.
At some point in this little lecture, you probably wanted to ask me how you could tell what measurements you had on your 3. Or how you know how much faster this one will move, or how much slower, etc. Most likely you wanted a no BS answer about whether or not your specific component will work with this new specific componenet, because you really wanted to know how fast you could stop, not how hydraulics actually work.
The answer is simple: Call the manufacturer. They know their own product, they'll be able to tell you if it'll work. If you'r emixing brands, I'm sure one company will be able to give you the numbers for hte amount of fluid moved by the lever, and you can call the other company and find out if it's compatible. Because, without knowing anything more than that you now have 3 pots, instead of 2, it's almost impossible to say, without knowing the specs, how the new one will behave. Maybe it'll lose power. Maybe it'll grab faster. Maybe you needed a different caliper because your levers weren't displacing enough for the old brakes to begin with. I doubt it, but since you really haven't provided any substantial information about what you have, it's hard to say.
And even if you had specified model numbers and such, really, the best people to ask would still be the manufacturer. You want a guru, find the one that made your brakes in the first place. He knows them best.