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Finding the Third Proportional to 449,127 and 981,542

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Solution

The third proportional to 449,127 and 981,542 is: 2,145,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,127 : 981,542 = 981,542 : x
  2. Step 2: Convert to fraction form
    449,127/981,542 = 981,542/x
  3. Step 3: Cross multiply
    449,127x = 981,542 × 981,542
  4. Step 4: Simplify right side
    449,127x = 963,424,697,764
  5. Step 5: Solve for x
    x = 963,424,697,764/449,127
  6. Step 6: Final answer
    x = 2,145,105.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.