I got it now, thanks.
As for my transposition, that's a good question, what did happen to the F...
In the first transposition, everything was square-rooted, the G*m1*m2 and then that entire term is divided by the F. So:
r = √(G*m1*m2) / F
The second one:
F = G*m1*m2 / r^2
F*r^2...