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Finding the Third Proportional to 396,576 and 871,884

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Solution

The third proportional to 396,576 and 871,884 is: 1,916,862.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,576 : 871,884 = 871,884 : x
  2. Step 2: Convert to fraction form
    396,576/871,884 = 871,884/x
  3. Step 3: Cross multiply
    396,576x = 871,884 × 871,884
  4. Step 4: Simplify right side
    396,576x = 760,181,709,456
  5. Step 5: Solve for x
    x = 760,181,709,456/396,576
  6. Step 6: Final answer
    x = 1,916,862.62

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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.