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Finding the Third Proportional to 396,761 and 881,811

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Solution

The third proportional to 396,761 and 881,811 is: 1,959,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,761 : 881,811 = 881,811 : x
  2. Step 2: Convert to fraction form
    396,761/881,811 = 881,811/x
  3. Step 3: Cross multiply
    396,761x = 881,811 × 881,811
  4. Step 4: Simplify right side
    396,761x = 777,590,639,721
  5. Step 5: Solve for x
    x = 777,590,639,721/396,761
  6. Step 6: Final answer
    x = 1,959,846.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.