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Finding the Third Proportional to 414,175 and 905,893

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Solution

The third proportional to 414,175 and 905,893 is: 1,981,389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,175 : 905,893 = 905,893 : x
  2. Step 2: Convert to fraction form
    414,175/905,893 = 905,893/x
  3. Step 3: Cross multiply
    414,175x = 905,893 × 905,893
  4. Step 4: Simplify right side
    414,175x = 820,642,127,449
  5. Step 5: Solve for x
    x = 820,642,127,449/414,175
  6. Step 6: Final answer
    x = 1,981,389.82

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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.