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Finding the Third Proportional to 2,134,180 and 3,255,471

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Solution

The third proportional to 2,134,180 and 3,255,471 is: 4,965,884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134,180 : 3,255,471 = 3,255,471 : x
  2. Step 2: Convert to fraction form
    2,134,180/3,255,471 = 3,255,471/x
  3. Step 3: Cross multiply
    2,134,180x = 3,255,471 × 3,255,471
  4. Step 4: Simplify right side
    2,134,180x = 10,598,091,431,841
  5. Step 5: Solve for x
    x = 10,598,091,431,841/2,134,180
  6. Step 6: Final answer
    x = 4,965,884.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.