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Finding the Third Proportional to 951,238 and 1,981,208

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Solution

The third proportional to 951,238 and 1,981,208 is: 4,126,396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,238 : 1,981,208 = 1,981,208 : x
  2. Step 2: Convert to fraction form
    951,238/1,981,208 = 1,981,208/x
  3. Step 3: Cross multiply
    951,238x = 1,981,208 × 1,981,208
  4. Step 4: Simplify right side
    951,238x = 3,925,185,139,264
  5. Step 5: Solve for x
    x = 3,925,185,139,264/951,238
  6. Step 6: Final answer
    x = 4,126,396.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.