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Finding the Third Proportional to 540,761 and 1,251,827

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Solution

The third proportional to 540,761 and 1,251,827 is: 2,897,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,761 : 1,251,827 = 1,251,827 : x
  2. Step 2: Convert to fraction form
    540,761/1,251,827 = 1,251,827/x
  3. Step 3: Cross multiply
    540,761x = 1,251,827 × 1,251,827
  4. Step 4: Simplify right side
    540,761x = 1,567,070,837,929
  5. Step 5: Solve for x
    x = 1,567,070,837,929/540,761
  6. Step 6: Final answer
    x = 2,897,899.14

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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.