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Finding the Third Proportional to 543,351 and 1,187,667

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Solution

The third proportional to 543,351 and 1,187,667 is: 2,596,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,351 : 1,187,667 = 1,187,667 : x
  2. Step 2: Convert to fraction form
    543,351/1,187,667 = 1,187,667/x
  3. Step 3: Cross multiply
    543,351x = 1,187,667 × 1,187,667
  4. Step 4: Simplify right side
    543,351x = 1,410,552,902,889
  5. Step 5: Solve for x
    x = 1,410,552,902,889/543,351
  6. Step 6: Final answer
    x = 2,596,025.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.