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Finding the Third Proportional to 3,145,498 and 4,744,311

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Solution

The third proportional to 3,145,498 and 4,744,311 is: 7,155,778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145,498 : 4,744,311 = 4,744,311 : x
  2. Step 2: Convert to fraction form
    3,145,498/4,744,311 = 4,744,311/x
  3. Step 3: Cross multiply
    3,145,498x = 4,744,311 × 4,744,311
  4. Step 4: Simplify right side
    3,145,498x = 22,508,486,864,721
  5. Step 5: Solve for x
    x = 22,508,486,864,721/3,145,498
  6. Step 6: Final answer
    x = 7,155,778.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.