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Finding the Third Proportional to 422,911.13 and 873,843.19

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Solution

The third proportional to 422,911.13 and 873,843.19 is: 1,805,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,911.13 : 873,843.19 = 873,843.19 : x
  2. Step 2: Convert to fraction form
    422,911.13/873,843.19 = 873,843.19/x
  3. Step 3: Cross multiply
    422,911.13x = 873,843.19 × 873,843.19
  4. Step 4: Simplify right side
    422,911.13x = 763,601,916,340.16
  5. Step 5: Solve for x
    x = 763,601,916,340.16/422,911.13
  6. Step 6: Final answer
    x = 1,805,584.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.