Finding the Third Proportional to 428,982 and 914,960
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Solution
The third proportional to 428,982 and 914,960 is: 1,951,484.68
Step by Step Solution
- Step 1: Write the proportion equation
428,982 : 914,960 = 914,960 : x - Step 2: Convert to fraction form
428,982/914,960 = 914,960/x - Step 3: Cross multiply
428,982x = 914,960 × 914,960 - Step 4: Simplify right side
428,982x = 837,151,801,600 - Step 5: Solve for x
x = 837,151,801,600/428,982 - Step 6: Final answer
x = 1,951,484.68
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.