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Finding the Third Proportional to 852,267.92 and 1,839,736.86

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Solution

The third proportional to 852,267.92 and 1,839,736.86 is: 3,971,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,267.92 : 1,839,736.86 = 1,839,736.86 : x
  2. Step 2: Convert to fraction form
    852,267.92/1,839,736.86 = 1,839,736.86/x
  3. Step 3: Cross multiply
    852,267.92x = 1,839,736.86 × 1,839,736.86
  4. Step 4: Simplify right side
    852,267.92x = 3,384,631,726,115.75
  5. Step 5: Solve for x
    x = 3,384,631,726,115.75/852,267.92
  6. Step 6: Final answer
    x = 3,971,323.63

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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.