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Finding the Third Proportional to 2,711,951 and 3,683,165

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Solution

The third proportional to 2,711,951 and 3,683,165 is: 5,002,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711,951 : 3,683,165 = 3,683,165 : x
  2. Step 2: Convert to fraction form
    2,711,951/3,683,165 = 3,683,165/x
  3. Step 3: Cross multiply
    2,711,951x = 3,683,165 × 3,683,165
  4. Step 4: Simplify right side
    2,711,951x = 13,565,704,417,225
  5. Step 5: Solve for x
    x = 13,565,704,417,225/2,711,951
  6. Step 6: Final answer
    x = 5,002,193.78

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.