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Finding the Third Proportional to 408,494 and 897,624

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Solution

The third proportional to 408,494 and 897,624 is: 1,972,437.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,494 : 897,624 = 897,624 : x
  2. Step 2: Convert to fraction form
    408,494/897,624 = 897,624/x
  3. Step 3: Cross multiply
    408,494x = 897,624 × 897,624
  4. Step 4: Simplify right side
    408,494x = 805,728,845,376
  5. Step 5: Solve for x
    x = 805,728,845,376/408,494
  6. Step 6: Final answer
    x = 1,972,437.41

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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.