Ok, I think I am correct in thinking and function, but I would like some help to make sure I am right.

I have two gears. One gear is 6" in diameter. One is 2" in diameter. The 6" gear is driven at 300 RPM.

The 2" gear is not driven by the 6" gear. Instead I have a 2" gear on the 6", connecting it to said 2" gear via chain.

The 6" gear and the adjacent 2" gear have three points, each located at 120 degrees.

Since the 6 and 2 are connected by a seperate 2" gear. The 6" gear and the adjacent 2" gear(driven by the 2" that is on the 6") will rotate the same direction, at 300 rpm each, and will have the ability to match the three points every time because the drive ratio for the 2" gear is a 1:1.

And even if they were some hair brained sizes like 5.387 and 1.276, as long as the connecting gear was even they would still turn the same rate and direction.

Thanks!