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Finding the Third Proportional to 600,035 and 844,027

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Solution

The third proportional to 600,035 and 844,027 is: 1,187,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,035 : 844,027 = 844,027 : x
  2. Step 2: Convert to fraction form
    600,035/844,027 = 844,027/x
  3. Step 3: Cross multiply
    600,035x = 844,027 × 844,027
  4. Step 4: Simplify right side
    600,035x = 712,381,576,729
  5. Step 5: Solve for x
    x = 712,381,576,729/600,035
  6. Step 6: Final answer
    x = 1,187,233.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.