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Finding the Third Proportional to 2,503,691 and 5,406,496

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Solution

The third proportional to 2,503,691 and 5,406,496 is: 11,674,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503,691 : 5,406,496 = 5,406,496 : x
  2. Step 2: Convert to fraction form
    2,503,691/5,406,496 = 5,406,496/x
  3. Step 3: Cross multiply
    2,503,691x = 5,406,496 × 5,406,496
  4. Step 4: Simplify right side
    2,503,691x = 29,230,198,998,016
  5. Step 5: Solve for x
    x = 29,230,198,998,016/2,503,691
  6. Step 6: Final answer
    x = 11,674,842.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.