update:
The i7-720QM is a 45nm CPU, and the i3-370M is a 32nm CPU
The i7 uses more power so it's not going to be compatible. BTW, you don't use TDP for power usage as many CPU's can be in the same list.
The i7 listed has 2x the cores on a larger transistor node so under load it's going to use over 2x the power.