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Finding the Third Proportional to 984,793.50 and 2,142,132.75

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Solution

The third proportional to 984,793.50 and 2,142,132.75 is: 4,659,588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,793.50 : 2,142,132.75 = 2,142,132.75 : x
  2. Step 2: Convert to fraction form
    984,793.50/2,142,132.75 = 2,142,132.75/x
  3. Step 3: Cross multiply
    984,793.50x = 2,142,132.75 × 2,142,132.75
  4. Step 4: Simplify right side
    984,793.50x = 4,588,732,718,622.56
  5. Step 5: Solve for x
    x = 4,588,732,718,622.56/984,793.50
  6. Step 6: Final answer
    x = 4,659,588.76

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Why These Related Problems?

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