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Finding the Third Proportional to 422,992 and 915,676

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Solution

The third proportional to 422,992 and 915,676 is: 1,982,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,992 : 915,676 = 915,676 : x
  2. Step 2: Convert to fraction form
    422,992/915,676 = 915,676/x
  3. Step 3: Cross multiply
    422,992x = 915,676 × 915,676
  4. Step 4: Simplify right side
    422,992x = 838,462,536,976
  5. Step 5: Solve for x
    x = 838,462,536,976/422,992
  6. Step 6: Final answer
    x = 1,982,218.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.