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Finding the Third Proportional to 2,541,414 and 3,951,529

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Solution

The third proportional to 2,541,414 and 3,951,529 is: 6,144,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541,414 : 3,951,529 = 3,951,529 : x
  2. Step 2: Convert to fraction form
    2,541,414/3,951,529 = 3,951,529/x
  3. Step 3: Cross multiply
    2,541,414x = 3,951,529 × 3,951,529
  4. Step 4: Simplify right side
    2,541,414x = 15,614,581,437,841
  5. Step 5: Solve for x
    x = 15,614,581,437,841/2,541,414
  6. Step 6: Final answer
    x = 6,144,052.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.