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Finding the Third Proportional to 543,860 and 826,356

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Solution

The third proportional to 543,860 and 826,356 is: 1,255,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,860 : 826,356 = 826,356 : x
  2. Step 2: Convert to fraction form
    543,860/826,356 = 826,356/x
  3. Step 3: Cross multiply
    543,860x = 826,356 × 826,356
  4. Step 4: Simplify right side
    543,860x = 682,864,238,736
  5. Step 5: Solve for x
    x = 682,864,238,736/543,860
  6. Step 6: Final answer
    x = 1,255,588.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.