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Finding the Third Proportional to 2,517,412 and 3,871,680

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Solution

The third proportional to 2,517,412 and 3,871,680 is: 5,954,490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517,412 : 3,871,680 = 3,871,680 : x
  2. Step 2: Convert to fraction form
    2,517,412/3,871,680 = 3,871,680/x
  3. Step 3: Cross multiply
    2,517,412x = 3,871,680 × 3,871,680
  4. Step 4: Simplify right side
    2,517,412x = 14,989,906,022,400
  5. Step 5: Solve for x
    x = 14,989,906,022,400/2,517,412
  6. Step 6: Final answer
    x = 5,954,490.57

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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.