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Finding the Third Proportional to 857,112.38 and 1,843,217.25

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Solution

The third proportional to 857,112.38 and 1,843,217.25 is: 3,963,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,112.38 : 1,843,217.25 = 1,843,217.25 : x
  2. Step 2: Convert to fraction form
    857,112.38/1,843,217.25 = 1,843,217.25/x
  3. Step 3: Cross multiply
    857,112.38x = 1,843,217.25 × 1,843,217.25
  4. Step 4: Simplify right side
    857,112.38x = 3,397,449,830,697.56
  5. Step 5: Solve for x
    x = 3,397,449,830,697.56/857,112.38
  6. Step 6: Final answer
    x = 3,963,832.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.