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Finding the Third Proportional to 2,098,876 and 4,449,978

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Solution

The third proportional to 2,098,876 and 4,449,978 is: 9,434,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,876 : 4,449,978 = 4,449,978 : x
  2. Step 2: Convert to fraction form
    2,098,876/4,449,978 = 4,449,978/x
  3. Step 3: Cross multiply
    2,098,876x = 4,449,978 × 4,449,978
  4. Step 4: Simplify right side
    2,098,876x = 19,802,304,200,484
  5. Step 5: Solve for x
    x = 19,802,304,200,484/2,098,876
  6. Step 6: Final answer
    x = 9,434,718.49

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.