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Finding the Third Proportional to 414,794 and 888,340

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Solution

The third proportional to 414,794 and 888,340 is: 1,902,505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,794 : 888,340 = 888,340 : x
  2. Step 2: Convert to fraction form
    414,794/888,340 = 888,340/x
  3. Step 3: Cross multiply
    414,794x = 888,340 × 888,340
  4. Step 4: Simplify right side
    414,794x = 789,147,955,600
  5. Step 5: Solve for x
    x = 789,147,955,600/414,794
  6. Step 6: Final answer
    x = 1,902,505.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.