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Finding the Third Proportional to 2,517,420 and 3,871,692

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Solution

The third proportional to 2,517,420 and 3,871,692 is: 5,954,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517,420 : 3,871,692 = 3,871,692 : x
  2. Step 2: Convert to fraction form
    2,517,420/3,871,692 = 3,871,692/x
  3. Step 3: Cross multiply
    2,517,420x = 3,871,692 × 3,871,692
  4. Step 4: Simplify right side
    2,517,420x = 14,989,998,942,864
  5. Step 5: Solve for x
    x = 14,989,998,942,864/2,517,420
  6. Step 6: Final answer
    x = 5,954,508.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.