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Finding the Third Proportional to 3,733,815 and 5,766,542

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Solution

The third proportional to 3,733,815 and 5,766,542 is: 8,905,906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733,815 : 5,766,542 = 5,766,542 : x
  2. Step 2: Convert to fraction form
    3,733,815/5,766,542 = 5,766,542/x
  3. Step 3: Cross multiply
    3,733,815x = 5,766,542 × 5,766,542
  4. Step 4: Simplify right side
    3,733,815x = 33,253,006,637,764
  5. Step 5: Solve for x
    x = 33,253,006,637,764/3,733,815
  6. Step 6: Final answer
    x = 8,905,906.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.