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Finding the Third Proportional to 408,621 and 897,837

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Solution

The third proportional to 408,621 and 897,837 is: 1,972,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,621 : 897,837 = 897,837 : x
  2. Step 2: Convert to fraction form
    408,621/897,837 = 897,837/x
  3. Step 3: Cross multiply
    408,621x = 897,837 × 897,837
  4. Step 4: Simplify right side
    408,621x = 806,111,278,569
  5. Step 5: Solve for x
    x = 806,111,278,569/408,621
  6. Step 6: Final answer
    x = 1,972,760.28

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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.