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Finding the Third Proportional to 614,626.73 and 1,253,640.80

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Solution

The third proportional to 614,626.73 and 1,253,640.80 is: 2,557,023.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,626.73 : 1,253,640.80 = 1,253,640.80 : x
  2. Step 2: Convert to fraction form
    614,626.73/1,253,640.80 = 1,253,640.80/x
  3. Step 3: Cross multiply
    614,626.73x = 1,253,640.80 × 1,253,640.80
  4. Step 4: Simplify right side
    614,626.73x = 1,571,615,247,589.39
  5. Step 5: Solve for x
    x = 1,571,615,247,589.39/614,626.73
  6. Step 6: Final answer
    x = 2,557,023.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.