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Finding the Third Proportional to 2,656,847 and 5,691,639

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Solution

The third proportional to 2,656,847 and 5,691,639 is: 12,192,931.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656,847 : 5,691,639 = 5,691,639 : x
  2. Step 2: Convert to fraction form
    2,656,847/5,691,639 = 5,691,639/x
  3. Step 3: Cross multiply
    2,656,847x = 5,691,639 × 5,691,639
  4. Step 4: Simplify right side
    2,656,847x = 32,394,754,506,321
  5. Step 5: Solve for x
    x = 32,394,754,506,321/2,656,847
  6. Step 6: Final answer
    x = 12,192,931.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.