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Finding the Third Proportional to 664,416 and 1,031,568

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Solution

The third proportional to 664,416 and 1,031,568 is: 1,601,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,416 : 1,031,568 = 1,031,568 : x
  2. Step 2: Convert to fraction form
    664,416/1,031,568 = 1,031,568/x
  3. Step 3: Cross multiply
    664,416x = 1,031,568 × 1,031,568
  4. Step 4: Simplify right side
    664,416x = 1,064,132,538,624
  5. Step 5: Solve for x
    x = 1,064,132,538,624/664,416
  6. Step 6: Final answer
    x = 1,601,605.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.