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Finding the Third Proportional to 543,116 and 1,179,542

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Solution

The third proportional to 543,116 and 1,179,542 is: 2,561,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,116 : 1,179,542 = 1,179,542 : x
  2. Step 2: Convert to fraction form
    543,116/1,179,542 = 1,179,542/x
  3. Step 3: Cross multiply
    543,116x = 1,179,542 × 1,179,542
  4. Step 4: Simplify right side
    543,116x = 1,391,319,329,764
  5. Step 5: Solve for x
    x = 1,391,319,329,764/543,116
  6. Step 6: Final answer
    x = 2,561,735.12

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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.