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Finding the Third Proportional to 649,978 and 1,449,325

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Solution

The third proportional to 649,978 and 1,449,325 is: 3,231,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,978 : 1,449,325 = 1,449,325 : x
  2. Step 2: Convert to fraction form
    649,978/1,449,325 = 1,449,325/x
  3. Step 3: Cross multiply
    649,978x = 1,449,325 × 1,449,325
  4. Step 4: Simplify right side
    649,978x = 2,100,542,955,625
  5. Step 5: Solve for x
    x = 2,100,542,955,625/649,978
  6. Step 6: Final answer
    x = 3,231,713.93

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.