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Finding the Third Proportional to 449,206 and 984,542

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Solution

The third proportional to 449,206 and 984,542 is: 2,157,858.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,206 : 984,542 = 984,542 : x
  2. Step 2: Convert to fraction form
    449,206/984,542 = 984,542/x
  3. Step 3: Cross multiply
    449,206x = 984,542 × 984,542
  4. Step 4: Simplify right side
    449,206x = 969,322,949,764
  5. Step 5: Solve for x
    x = 969,322,949,764/449,206
  6. Step 6: Final answer
    x = 2,157,858.42

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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.