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Finding the Third Proportional to 408,932 and 889,864

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Solution

The third proportional to 408,932 and 889,864 is: 1,936,404.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,932 : 889,864 = 889,864 : x
  2. Step 2: Convert to fraction form
    408,932/889,864 = 889,864/x
  3. Step 3: Cross multiply
    408,932x = 889,864 × 889,864
  4. Step 4: Simplify right side
    408,932x = 791,857,938,496
  5. Step 5: Solve for x
    x = 791,857,938,496/408,932
  6. Step 6: Final answer
    x = 1,936,404.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.