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Finding the Third Proportional to 853,274.25 and 1,843,200.56

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Solution

The third proportional to 853,274.25 and 1,843,200.56 is: 3,981,590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,274.25 : 1,843,200.56 = 1,843,200.56 : x
  2. Step 2: Convert to fraction form
    853,274.25/1,843,200.56 = 1,843,200.56/x
  3. Step 3: Cross multiply
    853,274.25x = 1,843,200.56 × 1,843,200.56
  4. Step 4: Simplify right side
    853,274.25x = 3,397,388,313,600.32
  5. Step 5: Solve for x
    x = 3,397,388,313,600.32/853,274.25
  6. Step 6: Final answer
    x = 3,981,590.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.