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Finding the Third Proportional to 408,483 and 897,597

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Solution

The third proportional to 408,483 and 897,597 is: 1,972,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,483 : 897,597 = 897,597 : x
  2. Step 2: Convert to fraction form
    408,483/897,597 = 897,597/x
  3. Step 3: Cross multiply
    408,483x = 897,597 × 897,597
  4. Step 4: Simplify right side
    408,483x = 805,680,374,409
  5. Step 5: Solve for x
    x = 805,680,374,409/408,483
  6. Step 6: Final answer
    x = 1,972,371.86

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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.