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Finding the Third Proportional to 3,478,019 and 5,255,096

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Solution

The third proportional to 3,478,019 and 5,255,096 is: 7,940,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478,019 : 5,255,096 = 5,255,096 : x
  2. Step 2: Convert to fraction form
    3,478,019/5,255,096 = 5,255,096/x
  3. Step 3: Cross multiply
    3,478,019x = 5,255,096 × 5,255,096
  4. Step 4: Simplify right side
    3,478,019x = 27,616,033,969,216
  5. Step 5: Solve for x
    x = 27,616,033,969,216/3,478,019
  6. Step 6: Final answer
    x = 7,940,161.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.