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Finding the Third Proportional to 543,539 and 1,152,850

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Solution

The third proportional to 543,539 and 1,152,850 is: 2,445,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,539 : 1,152,850 = 1,152,850 : x
  2. Step 2: Convert to fraction form
    543,539/1,152,850 = 1,152,850/x
  3. Step 3: Cross multiply
    543,539x = 1,152,850 × 1,152,850
  4. Step 4: Simplify right side
    543,539x = 1,329,063,122,500
  5. Step 5: Solve for x
    x = 1,329,063,122,500/543,539
  6. Step 6: Final answer
    x = 2,445,202.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.