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Finding the Third Proportional to 770,544 and 1,659,672

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Solution

The third proportional to 770,544 and 1,659,672 is: 3,574,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,544 : 1,659,672 = 1,659,672 : x
  2. Step 2: Convert to fraction form
    770,544/1,659,672 = 1,659,672/x
  3. Step 3: Cross multiply
    770,544x = 1,659,672 × 1,659,672
  4. Step 4: Simplify right side
    770,544x = 2,754,511,147,584
  5. Step 5: Solve for x
    x = 2,754,511,147,584/770,544
  6. Step 6: Final answer
    x = 3,574,761.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.