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Finding the Third Proportional to 509,736 and 1,108,080

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Solution

The third proportional to 509,736 and 1,108,080 is: 2,408,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,736 : 1,108,080 = 1,108,080 : x
  2. Step 2: Convert to fraction form
    509,736/1,108,080 = 1,108,080/x
  3. Step 3: Cross multiply
    509,736x = 1,108,080 × 1,108,080
  4. Step 4: Simplify right side
    509,736x = 1,227,841,286,400
  5. Step 5: Solve for x
    x = 1,227,841,286,400/509,736
  6. Step 6: Final answer
    x = 2,408,778.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.