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Finding the Third Proportional to 422,760 and 996,962

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Solution

The third proportional to 422,760 and 996,962 is: 2,351,057.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,760 : 996,962 = 996,962 : x
  2. Step 2: Convert to fraction form
    422,760/996,962 = 996,962/x
  3. Step 3: Cross multiply
    422,760x = 996,962 × 996,962
  4. Step 4: Simplify right side
    422,760x = 993,933,229,444
  5. Step 5: Solve for x
    x = 993,933,229,444/422,760
  6. Step 6: Final answer
    x = 2,351,057.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.