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Finding the Third Proportional to 2,738,742 and 3,634,857

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Solution

The third proportional to 2,738,742 and 3,634,857 is: 4,824,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738,742 : 3,634,857 = 3,634,857 : x
  2. Step 2: Convert to fraction form
    2,738,742/3,634,857 = 3,634,857/x
  3. Step 3: Cross multiply
    2,738,742x = 3,634,857 × 3,634,857
  4. Step 4: Simplify right side
    2,738,742x = 13,212,185,410,449
  5. Step 5: Solve for x
    x = 13,212,185,410,449/2,738,742
  6. Step 6: Final answer
    x = 4,824,180.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.