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Finding the Third Proportional to 540,759 and 1,251,822

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Solution

The third proportional to 540,759 and 1,251,822 is: 2,897,886.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,759 : 1,251,822 = 1,251,822 : x
  2. Step 2: Convert to fraction form
    540,759/1,251,822 = 1,251,822/x
  3. Step 3: Cross multiply
    540,759x = 1,251,822 × 1,251,822
  4. Step 4: Simplify right side
    540,759x = 1,567,058,319,684
  5. Step 5: Solve for x
    x = 1,567,058,319,684/540,759
  6. Step 6: Final answer
    x = 2,897,886.71

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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.