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Finding the Third Proportional to 4,417,542 and 6,480,897

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Solution

The third proportional to 4,417,542 and 6,480,897 is: 9,508,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417,542 : 6,480,897 = 6,480,897 : x
  2. Step 2: Convert to fraction form
    4,417,542/6,480,897 = 6,480,897/x
  3. Step 3: Cross multiply
    4,417,542x = 6,480,897 × 6,480,897
  4. Step 4: Simplify right side
    4,417,542x = 42,002,025,924,609
  5. Step 5: Solve for x
    x = 42,002,025,924,609/4,417,542
  6. Step 6: Final answer
    x = 9,508,008.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.