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Finding the Third Proportional to 664,953 and 1,028,605

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Solution

The third proportional to 664,953 and 1,028,605 is: 1,591,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,953 : 1,028,605 = 1,028,605 : x
  2. Step 2: Convert to fraction form
    664,953/1,028,605 = 1,028,605/x
  3. Step 3: Cross multiply
    664,953x = 1,028,605 × 1,028,605
  4. Step 4: Simplify right side
    664,953x = 1,058,028,246,025
  5. Step 5: Solve for x
    x = 1,058,028,246,025/664,953
  6. Step 6: Final answer
    x = 1,591,132.37

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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.