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Finding the Third Proportional to 664,310 and 1,031,463

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Solution

The third proportional to 664,310 and 1,031,463 is: 1,601,535.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,310 : 1,031,463 = 1,031,463 : x
  2. Step 2: Convert to fraction form
    664,310/1,031,463 = 1,031,463/x
  3. Step 3: Cross multiply
    664,310x = 1,031,463 × 1,031,463
  4. Step 4: Simplify right side
    664,310x = 1,063,915,920,369
  5. Step 5: Solve for x
    x = 1,063,915,920,369/664,310
  6. Step 6: Final answer
    x = 1,601,535.31

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