If you want to keep the same speed in whatever gear you choose, you must produce the power for it.
If you want to feel less exhausted, tuck down with your hands on the drops and bend your arms to get your chest near horizontal. This way, you'll have to shift less air to go the same speed, so power requirement will lessen. Also this way, you can ride faster for no increase in power input to the rear hub.
That's what the lower part of the handlebars are for.
1.75 mph increase with relation to what? If its a 10% increase, you were needing to produce a 20% increase in power. No wonder you got knackered.