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Finding the Third Proportional to 2,517,408 and 3,871,674

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Solution

The third proportional to 2,517,408 and 3,871,674 is: 5,954,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517,408 : 3,871,674 = 3,871,674 : x
  2. Step 2: Convert to fraction form
    2,517,408/3,871,674 = 3,871,674/x
  3. Step 3: Cross multiply
    2,517,408x = 3,871,674 × 3,871,674
  4. Step 4: Simplify right side
    2,517,408x = 14,989,859,562,276
  5. Step 5: Solve for x
    x = 14,989,859,562,276/2,517,408
  6. Step 6: Final answer
    x = 5,954,481.58

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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.