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Finding the Third Proportional to 467,781.75 and 984,463.88

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Solution

The third proportional to 467,781.75 and 984,463.88 is: 2,071,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,781.75 : 984,463.88 = 984,463.88 : x
  2. Step 2: Convert to fraction form
    467,781.75/984,463.88 = 984,463.88/x
  3. Step 3: Cross multiply
    467,781.75x = 984,463.88 × 984,463.88
  4. Step 4: Simplify right side
    467,781.75x = 969,169,121,180.02
  5. Step 5: Solve for x
    x = 969,169,121,180.02/467,781.75
  6. Step 6: Final answer
    x = 2,071,840.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.