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Finding the Third Proportional to 768,277 and 1,659,650

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Solution

The third proportional to 768,277 and 1,659,650 is: 3,585,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,277 : 1,659,650 = 1,659,650 : x
  2. Step 2: Convert to fraction form
    768,277/1,659,650 = 1,659,650/x
  3. Step 3: Cross multiply
    768,277x = 1,659,650 × 1,659,650
  4. Step 4: Simplify right side
    768,277x = 2,754,438,122,500
  5. Step 5: Solve for x
    x = 2,754,438,122,500/768,277
  6. Step 6: Final answer
    x = 3,585,214.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.