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Finding the Third Proportional to 664,951 and 1,028,602

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Solution

The third proportional to 664,951 and 1,028,602 is: 1,591,127.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,951 : 1,028,602 = 1,028,602 : x
  2. Step 2: Convert to fraction form
    664,951/1,028,602 = 1,028,602/x
  3. Step 3: Cross multiply
    664,951x = 1,028,602 × 1,028,602
  4. Step 4: Simplify right side
    664,951x = 1,058,022,074,404
  5. Step 5: Solve for x
    x = 1,058,022,074,404/664,951
  6. Step 6: Final answer
    x = 1,591,127.88

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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.