Let me just ask a more simple question. Why can't I plug a 1500w 120v heater into an extension cord rated for 13 amps/1625 watts?
Simplest answer. Voltage Drop: it's extremely unlikely you'll have the proper voltage, especially as how you're describing the setup, which will in turn raise the amperage of the load. As it's set up, you have no margin of error in the cords to handle that, they'll overheat and quite likely catch on fire or serve as a fusible link.
