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Finding the Third Proportional to 591,240 and 901,626

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Solution

The third proportional to 591,240 and 901,626 is: 1,374,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,240 : 901,626 = 901,626 : x
  2. Step 2: Convert to fraction form
    591,240/901,626 = 901,626/x
  3. Step 3: Cross multiply
    591,240x = 901,626 × 901,626
  4. Step 4: Simplify right side
    591,240x = 812,929,443,876
  5. Step 5: Solve for x
    x = 812,929,443,876/591,240
  6. Step 6: Final answer
    x = 1,374,956.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.