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Finding the Third Proportional to 543,357 and 1,187,679

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Solution

The third proportional to 543,357 and 1,187,679 is: 2,596,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,357 : 1,187,679 = 1,187,679 : x
  2. Step 2: Convert to fraction form
    543,357/1,187,679 = 1,187,679/x
  3. Step 3: Cross multiply
    543,357x = 1,187,679 × 1,187,679
  4. Step 4: Simplify right side
    543,357x = 1,410,581,407,041
  5. Step 5: Solve for x
    x = 1,410,581,407,041/543,357
  6. Step 6: Final answer
    x = 2,596,049.02

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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.