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Finding the Third Proportional to 422,978 and 915,652

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Solution

The third proportional to 422,978 and 915,652 is: 1,982,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,978 : 915,652 = 915,652 : x
  2. Step 2: Convert to fraction form
    422,978/915,652 = 915,652/x
  3. Step 3: Cross multiply
    422,978x = 915,652 × 915,652
  4. Step 4: Simplify right side
    422,978x = 838,418,585,104
  5. Step 5: Solve for x
    x = 838,418,585,104/422,978
  6. Step 6: Final answer
    x = 1,982,180.13

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