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Finding the Third Proportional to 2,906,165 and 3,989,374

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Solution

The third proportional to 2,906,165 and 3,989,374 is: 5,476,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,165 : 3,989,374 = 3,989,374 : x
  2. Step 2: Convert to fraction form
    2,906,165/3,989,374 = 3,989,374/x
  3. Step 3: Cross multiply
    2,906,165x = 3,989,374 × 3,989,374
  4. Step 4: Simplify right side
    2,906,165x = 15,915,104,911,876
  5. Step 5: Solve for x
    x = 15,915,104,911,876/2,906,165
  6. Step 6: Final answer
    x = 5,476,325.30

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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.