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Finding the Third Proportional to 1,951,649 and 4,229,098

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Solution

The third proportional to 1,951,649 and 4,229,098 is: 9,164,183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951,649 : 4,229,098 = 4,229,098 : x
  2. Step 2: Convert to fraction form
    1,951,649/4,229,098 = 4,229,098/x
  3. Step 3: Cross multiply
    1,951,649x = 4,229,098 × 4,229,098
  4. Step 4: Simplify right side
    1,951,649x = 17,885,269,893,604
  5. Step 5: Solve for x
    x = 17,885,269,893,604/1,951,649
  6. Step 6: Final answer
    x = 9,164,183.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.