Stack the ratios
A 1750 rpm motor through two reductions. Ratios multiply, so 3:1 followed by 3:1 is 9:1 overall — and the torque rises by the same factor that the speed falls, minus efficiency.
Mechanical
Gears trade speed for torque and never give you both. Stack the ratios, then check that everything downstream can survive the torque you just created.
A 1750 rpm motor through two reductions. Ratios multiply, so 3:1 followed by 3:1 is 9:1 overall — and the torque rises by the same factor that the speed falls, minus efficiency.
Each mesh costs a couple of percent. Three stages at 97% each is not 97% — it is 0.97³, and that compounding is why long gear trains run hot.
All that multiplied torque has to react into a housing. Bolt torque converts a size and grade into the tightening figure that produces the clamp force — which is what actually stops a joint slipping.
Bearing life is brutally non-linear in load: roughly an inverse cube for ball bearings. Doubling the load does not halve the life, it cuts it to an eighth.
The ratio takes a minute. What it does to efficiency, joints and bearing life is the actual design work — and each of those tools will tell you when you have gone too far.