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Finding the Third Proportional to 747,671 and 1,644,806

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Solution

The third proportional to 747,671 and 1,644,806 is: 3,618,418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,671 : 1,644,806 = 1,644,806 : x
  2. Step 2: Convert to fraction form
    747,671/1,644,806 = 1,644,806/x
  3. Step 3: Cross multiply
    747,671x = 1,644,806 × 1,644,806
  4. Step 4: Simplify right side
    747,671x = 2,705,386,777,636
  5. Step 5: Solve for x
    x = 2,705,386,777,636/747,671
  6. Step 6: Final answer
    x = 3,618,418.77

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Why These Related Problems?

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