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Finding the Third Proportional to 724,648.78 and 1,449,217.83

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Solution

The third proportional to 724,648.78 and 1,449,217.83 is: 2,898,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,648.78 : 1,449,217.83 = 1,449,217.83 : x
  2. Step 2: Convert to fraction form
    724,648.78/1,449,217.83 = 1,449,217.83/x
  3. Step 3: Cross multiply
    724,648.78x = 1,449,217.83 × 1,449,217.83
  4. Step 4: Simplify right side
    724,648.78x = 2,100,232,313,355.34
  5. Step 5: Solve for x
    x = 2,100,232,313,355.34/724,648.78
  6. Step 6: Final answer
    x = 2,898,276.20

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.