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Finding the Third Proportional to 770,850.75 and 1,695,474.75

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Solution

The third proportional to 770,850.75 and 1,695,474.75 is: 3,729,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,850.75 : 1,695,474.75 = 1,695,474.75 : x
  2. Step 2: Convert to fraction form
    770,850.75/1,695,474.75 = 1,695,474.75/x
  3. Step 3: Cross multiply
    770,850.75x = 1,695,474.75 × 1,695,474.75
  4. Step 4: Simplify right side
    770,850.75x = 2,874,634,627,887.56
  5. Step 5: Solve for x
    x = 2,874,634,627,887.56/770,850.75
  6. Step 6: Final answer
    x = 3,729,171.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.