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Finding the Third Proportional to 2,656,843 and 5,691,631

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Solution

The third proportional to 2,656,843 and 5,691,631 is: 12,192,915.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656,843 : 5,691,631 = 5,691,631 : x
  2. Step 2: Convert to fraction form
    2,656,843/5,691,631 = 5,691,631/x
  3. Step 3: Cross multiply
    2,656,843x = 5,691,631 × 5,691,631
  4. Step 4: Simplify right side
    2,656,843x = 32,394,663,440,161
  5. Step 5: Solve for x
    x = 32,394,663,440,161/2,656,843
  6. Step 6: Final answer
    x = 12,192,915.97

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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.