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Finding the Third Proportional to 454,033.48 and 996,625.27

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Solution

The third proportional to 454,033.48 and 996,625.27 is: 2,187,640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,033.48 : 996,625.27 = 996,625.27 : x
  2. Step 2: Convert to fraction form
    454,033.48/996,625.27 = 996,625.27/x
  3. Step 3: Cross multiply
    454,033.48x = 996,625.27 × 996,625.27
  4. Step 4: Simplify right side
    454,033.48x = 993,261,920,082.10
  5. Step 5: Solve for x
    x = 993,261,920,082.10/454,033.48
  6. Step 6: Final answer
    x = 2,187,640.28

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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.