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Finding the Third Proportional to 747,669 and 1,644,802

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Solution

The third proportional to 747,669 and 1,644,802 is: 3,618,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,669 : 1,644,802 = 1,644,802 : x
  2. Step 2: Convert to fraction form
    747,669/1,644,802 = 1,644,802/x
  3. Step 3: Cross multiply
    747,669x = 1,644,802 × 1,644,802
  4. Step 4: Simplify right side
    747,669x = 2,705,373,619,204
  5. Step 5: Solve for x
    x = 2,705,373,619,204/747,669
  6. Step 6: Final answer
    x = 3,618,410.85

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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.