Finding the Third Proportional to 409,716 and 894,150
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Solution
The third proportional to 409,716 and 894,150 is: 1,951,361.97
Step by Step Solution
- Step 1: Write the proportion equation
409,716 : 894,150 = 894,150 : x - Step 2: Convert to fraction form
409,716/894,150 = 894,150/x - Step 3: Cross multiply
409,716x = 894,150 × 894,150 - Step 4: Simplify right side
409,716x = 799,504,222,500 - Step 5: Solve for x
x = 799,504,222,500/409,716 - Step 6: Final answer
x = 1,951,361.97
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.