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Finding the Third Proportional to 676,940 and 1,486,722

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Solution

The third proportional to 676,940 and 1,486,722 is: 3,265,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,940 : 1,486,722 = 1,486,722 : x
  2. Step 2: Convert to fraction form
    676,940/1,486,722 = 1,486,722/x
  3. Step 3: Cross multiply
    676,940x = 1,486,722 × 1,486,722
  4. Step 4: Simplify right side
    676,940x = 2,210,342,305,284
  5. Step 5: Solve for x
    x = 2,210,342,305,284/676,940
  6. Step 6: Final answer
    x = 3,265,196.78

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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.