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Finding the Third Proportional to 2,274,408 and 4,947,399

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Solution

The third proportional to 2,274,408 and 4,947,399 is: 10,761,814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274,408 : 4,947,399 = 4,947,399 : x
  2. Step 2: Convert to fraction form
    2,274,408/4,947,399 = 4,947,399/x
  3. Step 3: Cross multiply
    2,274,408x = 4,947,399 × 4,947,399
  4. Step 4: Simplify right side
    2,274,408x = 24,476,756,865,201
  5. Step 5: Solve for x
    x = 24,476,756,865,201/2,274,408
  6. Step 6: Final answer
    x = 10,761,814.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.