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Finding the Third Proportional to 454,002.44 and 996,566.97

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Solution

The third proportional to 454,002.44 and 996,566.97 is: 2,187,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,002.44 : 996,566.97 = 996,566.97 : x
  2. Step 2: Convert to fraction form
    454,002.44/996,566.97 = 996,566.97/x
  3. Step 3: Cross multiply
    454,002.44x = 996,566.97 × 996,566.97
  4. Step 4: Simplify right side
    454,002.44x = 993,145,723,203.56
  5. Step 5: Solve for x
    x = 993,145,723,203.56/454,002.44
  6. Step 6: Final answer
    x = 2,187,533.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.