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Finding the Third Proportional to 732,427 and 1,606,672

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Solution

The third proportional to 732,427 and 1,606,672 is: 3,524,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,427 : 1,606,672 = 1,606,672 : x
  2. Step 2: Convert to fraction form
    732,427/1,606,672 = 1,606,672/x
  3. Step 3: Cross multiply
    732,427x = 1,606,672 × 1,606,672
  4. Step 4: Simplify right side
    732,427x = 2,581,394,915,584
  5. Step 5: Solve for x
    x = 2,581,394,915,584/732,427
  6. Step 6: Final answer
    x = 3,524,439.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.