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Finding the Third Proportional to 770,019 and 1,855,062

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Solution

The third proportional to 770,019 and 1,855,062 is: 4,469,052.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,019 : 1,855,062 = 1,855,062 : x
  2. Step 2: Convert to fraction form
    770,019/1,855,062 = 1,855,062/x
  3. Step 3: Cross multiply
    770,019x = 1,855,062 × 1,855,062
  4. Step 4: Simplify right side
    770,019x = 3,441,255,023,844
  5. Step 5: Solve for x
    x = 3,441,255,023,844/770,019
  6. Step 6: Final answer
    x = 4,469,052.09

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.