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Finding the Third Proportional to 861,676 and 1,840,638

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Solution

The third proportional to 861,676 and 1,840,638 is: 3,931,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,676 : 1,840,638 = 1,840,638 : x
  2. Step 2: Convert to fraction form
    861,676/1,840,638 = 1,840,638/x
  3. Step 3: Cross multiply
    861,676x = 1,840,638 × 1,840,638
  4. Step 4: Simplify right side
    861,676x = 3,387,948,247,044
  5. Step 5: Solve for x
    x = 3,387,948,247,044/861,676
  6. Step 6: Final answer
    x = 3,931,812.24

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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.