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Finding the Third Proportional to 2,175,638 and 4,712,866

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Solution

The third proportional to 2,175,638 and 4,712,866 is: 10,209,008.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175,638 : 4,712,866 = 4,712,866 : x
  2. Step 2: Convert to fraction form
    2,175,638/4,712,866 = 4,712,866/x
  3. Step 3: Cross multiply
    2,175,638x = 4,712,866 × 4,712,866
  4. Step 4: Simplify right side
    2,175,638x = 22,211,105,933,956
  5. Step 5: Solve for x
    x = 22,211,105,933,956/2,175,638
  6. Step 6: Final answer
    x = 10,209,008.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.