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Finding the Third Proportional to 414,179 and 905,901

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Solution

The third proportional to 414,179 and 905,901 is: 1,981,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,179 : 905,901 = 905,901 : x
  2. Step 2: Convert to fraction form
    414,179/905,901 = 905,901/x
  3. Step 3: Cross multiply
    414,179x = 905,901 × 905,901
  4. Step 4: Simplify right side
    414,179x = 820,656,621,801
  5. Step 5: Solve for x
    x = 820,656,621,801/414,179
  6. Step 6: Final answer
    x = 1,981,405.68

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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.