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Finding the Third Proportional to 619,207.88 and 871,989.75

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Solution

The third proportional to 619,207.88 and 871,989.75 is: 1,227,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,207.88 : 871,989.75 = 871,989.75 : x
  2. Step 2: Convert to fraction form
    619,207.88/871,989.75 = 871,989.75/x
  3. Step 3: Cross multiply
    619,207.88x = 871,989.75 × 871,989.75
  4. Step 4: Simplify right side
    619,207.88x = 760,366,124,105.06
  5. Step 5: Solve for x
    x = 760,366,124,105.06/619,207.88
  6. Step 6: Final answer
    x = 1,227,965.85

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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.