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Finding the Third Proportional to 2,274,974 and 4,951,668

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Solution

The third proportional to 2,274,974 and 4,951,668 is: 10,777,712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274,974 : 4,951,668 = 4,951,668 : x
  2. Step 2: Convert to fraction form
    2,274,974/4,951,668 = 4,951,668/x
  3. Step 3: Cross multiply
    2,274,974x = 4,951,668 × 4,951,668
  4. Step 4: Simplify right side
    2,274,974x = 24,519,015,982,224
  5. Step 5: Solve for x
    x = 24,519,015,982,224/2,274,974
  6. Step 6: Final answer
    x = 10,777,712.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.