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Finding the Third Proportional to 3,407,124 and 6,914,366

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Solution

The third proportional to 3,407,124 and 6,914,366 is: 14,031,909.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407,124 : 6,914,366 = 6,914,366 : x
  2. Step 2: Convert to fraction form
    3,407,124/6,914,366 = 6,914,366/x
  3. Step 3: Cross multiply
    3,407,124x = 6,914,366 × 6,914,366
  4. Step 4: Simplify right side
    3,407,124x = 47,808,457,181,956
  5. Step 5: Solve for x
    x = 47,808,457,181,956/3,407,124
  6. Step 6: Final answer
    x = 14,031,909.96

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.