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Finding the Third Proportional to 862,112 and 1,873,449

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Solution

The third proportional to 862,112 and 1,873,449 is: 4,071,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,112 : 1,873,449 = 1,873,449 : x
  2. Step 2: Convert to fraction form
    862,112/1,873,449 = 1,873,449/x
  3. Step 3: Cross multiply
    862,112x = 1,873,449 × 1,873,449
  4. Step 4: Simplify right side
    862,112x = 3,509,811,155,601
  5. Step 5: Solve for x
    x = 3,509,811,155,601/862,112
  6. Step 6: Final answer
    x = 4,071,177.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.