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Finding the Third Proportional to 414,208 and 888,832

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Solution

The third proportional to 414,208 and 888,832 is: 1,907,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,208 : 888,832 = 888,832 : x
  2. Step 2: Convert to fraction form
    414,208/888,832 = 888,832/x
  3. Step 3: Cross multiply
    414,208x = 888,832 × 888,832
  4. Step 4: Simplify right side
    414,208x = 790,022,324,224
  5. Step 5: Solve for x
    x = 790,022,324,224/414,208
  6. Step 6: Final answer
    x = 1,907,308.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.