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Finding the Third Proportional to 2,517,398 and 3,871,662

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Solution

The third proportional to 2,517,398 and 3,871,662 is: 5,954,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517,398 : 3,871,662 = 3,871,662 : x
  2. Step 2: Convert to fraction form
    2,517,398/3,871,662 = 3,871,662/x
  3. Step 3: Cross multiply
    2,517,398x = 3,871,662 × 3,871,662
  4. Step 4: Simplify right side
    2,517,398x = 14,989,766,642,244
  5. Step 5: Solve for x
    x = 14,989,766,642,244/2,517,398
  6. Step 6: Final answer
    x = 5,954,468.32

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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.