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Finding the Third Proportional to 414,162 and 905,868

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Solution

The third proportional to 414,162 and 905,868 is: 1,981,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,162 : 905,868 = 905,868 : x
  2. Step 2: Convert to fraction form
    414,162/905,868 = 905,868/x
  3. Step 3: Cross multiply
    414,162x = 905,868 × 905,868
  4. Step 4: Simplify right side
    414,162x = 820,596,833,424
  5. Step 5: Solve for x
    x = 820,596,833,424/414,162
  6. Step 6: Final answer
    x = 1,981,342.65

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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.