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Finding the Third Proportional to 762,110 and 1,169,517

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Solution

The third proportional to 762,110 and 1,169,517 is: 1,794,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,110 : 1,169,517 = 1,169,517 : x
  2. Step 2: Convert to fraction form
    762,110/1,169,517 = 1,169,517/x
  3. Step 3: Cross multiply
    762,110x = 1,169,517 × 1,169,517
  4. Step 4: Simplify right side
    762,110x = 1,367,770,013,289
  5. Step 5: Solve for x
    x = 1,367,770,013,289/762,110
  6. Step 6: Final answer
    x = 1,794,714.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.