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Finding the Third Proportional to 541,864 and 1,190,988

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Solution

The third proportional to 541,864 and 1,190,988 is: 2,617,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,864 : 1,190,988 = 1,190,988 : x
  2. Step 2: Convert to fraction form
    541,864/1,190,988 = 1,190,988/x
  3. Step 3: Cross multiply
    541,864x = 1,190,988 × 1,190,988
  4. Step 4: Simplify right side
    541,864x = 1,418,452,416,144
  5. Step 5: Solve for x
    x = 1,418,452,416,144/541,864
  6. Step 6: Final answer
    x = 2,617,727.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.