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Finding the Third Proportional to 408,110 and 886,112

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Solution

The third proportional to 408,110 and 886,112 is: 1,923,977.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,110 : 886,112 = 886,112 : x
  2. Step 2: Convert to fraction form
    408,110/886,112 = 886,112/x
  3. Step 3: Cross multiply
    408,110x = 886,112 × 886,112
  4. Step 4: Simplify right side
    408,110x = 785,194,476,544
  5. Step 5: Solve for x
    x = 785,194,476,544/408,110
  6. Step 6: Final answer
    x = 1,923,977.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.