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Finding the Third Proportional to 396,614 and 871,960

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Solution

The third proportional to 396,614 and 871,960 is: 1,917,013.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,614 : 871,960 = 871,960 : x
  2. Step 2: Convert to fraction form
    396,614/871,960 = 871,960/x
  3. Step 3: Cross multiply
    396,614x = 871,960 × 871,960
  4. Step 4: Simplify right side
    396,614x = 760,314,241,600
  5. Step 5: Solve for x
    x = 760,314,241,600/396,614
  6. Step 6: Final answer
    x = 1,917,013.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.