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Finding the Third Proportional to 396,617 and 871,966

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Solution

The third proportional to 396,617 and 871,966 is: 1,917,025.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,617 : 871,966 = 871,966 : x
  2. Step 2: Convert to fraction form
    396,617/871,966 = 871,966/x
  3. Step 3: Cross multiply
    396,617x = 871,966 × 871,966
  4. Step 4: Simplify right side
    396,617x = 760,324,705,156
  5. Step 5: Solve for x
    x = 760,324,705,156/396,617
  6. Step 6: Final answer
    x = 1,917,025.00

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Why These Related Problems?

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