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Finding the Third Proportional to 417,200 and 886,112

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Solution

The third proportional to 417,200 and 886,112 is: 1,882,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,200 : 886,112 = 886,112 : x
  2. Step 2: Convert to fraction form
    417,200/886,112 = 886,112/x
  3. Step 3: Cross multiply
    417,200x = 886,112 × 886,112
  4. Step 4: Simplify right side
    417,200x = 785,194,476,544
  5. Step 5: Solve for x
    x = 785,194,476,544/417,200
  6. Step 6: Final answer
    x = 1,882,057.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.