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Finding the Third Proportional to 768,277 and 1,659,651

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Solution

The third proportional to 768,277 and 1,659,651 is: 3,585,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,277 : 1,659,651 = 1,659,651 : x
  2. Step 2: Convert to fraction form
    768,277/1,659,651 = 1,659,651/x
  3. Step 3: Cross multiply
    768,277x = 1,659,651 × 1,659,651
  4. Step 4: Simplify right side
    768,277x = 2,754,441,441,801
  5. Step 5: Solve for x
    x = 2,754,441,441,801/768,277
  6. Step 6: Final answer
    x = 3,585,219.19

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