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Finding the Third Proportional to 664,446 and 1,559,919

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Solution

The third proportional to 664,446 and 1,559,919 is: 3,662,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,446 : 1,559,919 = 1,559,919 : x
  2. Step 2: Convert to fraction form
    664,446/1,559,919 = 1,559,919/x
  3. Step 3: Cross multiply
    664,446x = 1,559,919 × 1,559,919
  4. Step 4: Simplify right side
    664,446x = 2,433,347,286,561
  5. Step 5: Solve for x
    x = 2,433,347,286,561/664,446
  6. Step 6: Final answer
    x = 3,662,219.78

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.