Finding the Third Proportional to 402,522 and 861,406
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Solution
The third proportional to 402,522 and 861,406 is: 1,843,427.93
Step by Step Solution
- Step 1: Write the proportion equation
402,522 : 861,406 = 861,406 : x - Step 2: Convert to fraction form
402,522/861,406 = 861,406/x - Step 3: Cross multiply
402,522x = 861,406 × 861,406 - Step 4: Simplify right side
402,522x = 742,020,296,836 - Step 5: Solve for x
x = 742,020,296,836/402,522 - Step 6: Final answer
x = 1,843,427.93
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.