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Finding the Third Proportional to 449,204 and 984,538

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Solution

The third proportional to 449,204 and 984,538 is: 2,157,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,204 : 984,538 = 984,538 : x
  2. Step 2: Convert to fraction form
    449,204/984,538 = 984,538/x
  3. Step 3: Cross multiply
    449,204x = 984,538 × 984,538
  4. Step 4: Simplify right side
    449,204x = 969,315,073,444
  5. Step 5: Solve for x
    x = 969,315,073,444/449,204
  6. Step 6: Final answer
    x = 2,157,850.49

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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.