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Finding the Third Proportional to 543,853.50 and 1,166,439

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Solution

The third proportional to 543,853.50 and 1,166,439 is: 2,501,739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,853.50 : 1,166,439 = 1,166,439 : x
  2. Step 2: Convert to fraction form
    543,853.50/1,166,439 = 1,166,439/x
  3. Step 3: Cross multiply
    543,853.50x = 1,166,439 × 1,166,439
  4. Step 4: Simplify right side
    543,853.50x = 1,360,579,940,721
  5. Step 5: Solve for x
    x = 1,360,579,940,721/543,853.50
  6. Step 6: Final answer
    x = 2,501,739.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.