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Finding the Third Proportional to 747,671 and 1,644,868

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Solution

The third proportional to 747,671 and 1,644,868 is: 3,618,691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,671 : 1,644,868 = 1,644,868 : x
  2. Step 2: Convert to fraction form
    747,671/1,644,868 = 1,644,868/x
  3. Step 3: Cross multiply
    747,671x = 1,644,868 × 1,644,868
  4. Step 4: Simplify right side
    747,671x = 2,705,590,737,424
  5. Step 5: Solve for x
    x = 2,705,590,737,424/747,671
  6. Step 6: Final answer
    x = 3,618,691.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.