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Finding the Third Proportional to 625,073 and 933,493

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Solution

The third proportional to 625,073 and 933,493 is: 1,394,091.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,073 : 933,493 = 933,493 : x
  2. Step 2: Convert to fraction form
    625,073/933,493 = 933,493/x
  3. Step 3: Cross multiply
    625,073x = 933,493 × 933,493
  4. Step 4: Simplify right side
    625,073x = 871,409,181,049
  5. Step 5: Solve for x
    x = 871,409,181,049/625,073
  6. Step 6: Final answer
    x = 1,394,091.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.