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Finding the Third Proportional to 2,906,138 and 3,989,334

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Solution

The third proportional to 2,906,138 and 3,989,334 is: 5,476,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,138 : 3,989,334 = 3,989,334 : x
  2. Step 2: Convert to fraction form
    2,906,138/3,989,334 = 3,989,334/x
  3. Step 3: Cross multiply
    2,906,138x = 3,989,334 × 3,989,334
  4. Step 4: Simplify right side
    2,906,138x = 15,914,785,763,556
  5. Step 5: Solve for x
    x = 15,914,785,763,556/2,906,138
  6. Step 6: Final answer
    x = 5,476,266.36

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.