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Finding the Third Proportional to 414,234 and 906,000

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Solution

The third proportional to 414,234 and 906,000 is: 1,981,575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,234 : 906,000 = 906,000 : x
  2. Step 2: Convert to fraction form
    414,234/906,000 = 906,000/x
  3. Step 3: Cross multiply
    414,234x = 906,000 × 906,000
  4. Step 4: Simplify right side
    414,234x = 820,836,000,000
  5. Step 5: Solve for x
    x = 820,836,000,000/414,234
  6. Step 6: Final answer
    x = 1,981,575.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.