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Finding the Third Proportional to 816,309.14 and 1,906,221.09

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Solution

The third proportional to 816,309.14 and 1,906,221.09 is: 4,451,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,309.14 : 1,906,221.09 = 1,906,221.09 : x
  2. Step 2: Convert to fraction form
    816,309.14/1,906,221.09 = 1,906,221.09/x
  3. Step 3: Cross multiply
    816,309.14x = 1,906,221.09 × 1,906,221.09
  4. Step 4: Simplify right side
    816,309.14x = 3,633,678,858,257.45
  5. Step 5: Solve for x
    x = 3,633,678,858,257.45/816,309.14
  6. Step 6: Final answer
    x = 4,451,351.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.