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Finding the Third Proportional to 3,761,314 and 5,730,102

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Solution

The third proportional to 3,761,314 and 5,730,102 is: 8,729,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761,314 : 5,730,102 = 5,730,102 : x
  2. Step 2: Convert to fraction form
    3,761,314/5,730,102 = 5,730,102/x
  3. Step 3: Cross multiply
    3,761,314x = 5,730,102 × 5,730,102
  4. Step 4: Simplify right side
    3,761,314x = 32,834,068,930,404
  5. Step 5: Solve for x
    x = 32,834,068,930,404/3,761,314
  6. Step 6: Final answer
    x = 8,729,414.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.