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Finding the Third Proportional to 543,886 and 1,192,302

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Solution

The third proportional to 543,886 and 1,192,302 is: 2,613,753.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,886 : 1,192,302 = 1,192,302 : x
  2. Step 2: Convert to fraction form
    543,886/1,192,302 = 1,192,302/x
  3. Step 3: Cross multiply
    543,886x = 1,192,302 × 1,192,302
  4. Step 4: Simplify right side
    543,886x = 1,421,584,059,204
  5. Step 5: Solve for x
    x = 1,421,584,059,204/543,886
  6. Step 6: Final answer
    x = 2,613,753.73

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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.