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Finding the Third Proportional to 550,864 and 1,182,080

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Solution

The third proportional to 550,864 and 1,182,080 is: 2,536,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,864 : 1,182,080 = 1,182,080 : x
  2. Step 2: Convert to fraction form
    550,864/1,182,080 = 1,182,080/x
  3. Step 3: Cross multiply
    550,864x = 1,182,080 × 1,182,080
  4. Step 4: Simplify right side
    550,864x = 1,397,313,126,400
  5. Step 5: Solve for x
    x = 1,397,313,126,400/550,864
  6. Step 6: Final answer
    x = 2,536,584.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.