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Finding the Third Proportional to 408,496 and 897,628

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Solution

The third proportional to 408,496 and 897,628 is: 1,972,445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,496 : 897,628 = 897,628 : x
  2. Step 2: Convert to fraction form
    408,496/897,628 = 897,628/x
  3. Step 3: Cross multiply
    408,496x = 897,628 × 897,628
  4. Step 4: Simplify right side
    408,496x = 805,736,026,384
  5. Step 5: Solve for x
    x = 805,736,026,384/408,496
  6. Step 6: Final answer
    x = 1,972,445.33

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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.