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Finding the Third Proportional to 540,782 and 1,251,876

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Solution

The third proportional to 540,782 and 1,251,876 is: 2,898,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,782 : 1,251,876 = 1,251,876 : x
  2. Step 2: Convert to fraction form
    540,782/1,251,876 = 1,251,876/x
  3. Step 3: Cross multiply
    540,782x = 1,251,876 × 1,251,876
  4. Step 4: Simplify right side
    540,782x = 1,567,193,519,376
  5. Step 5: Solve for x
    x = 1,567,193,519,376/540,782
  6. Step 6: Final answer
    x = 2,898,013.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.