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Finding the Third Proportional to 767,750 and 1,584,676

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Solution

The third proportional to 767,750 and 1,584,676 is: 3,270,853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,750 : 1,584,676 = 1,584,676 : x
  2. Step 2: Convert to fraction form
    767,750/1,584,676 = 1,584,676/x
  3. Step 3: Cross multiply
    767,750x = 1,584,676 × 1,584,676
  4. Step 4: Simplify right side
    767,750x = 2,511,198,024,976
  5. Step 5: Solve for x
    x = 2,511,198,024,976/767,750
  6. Step 6: Final answer
    x = 3,270,853.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.