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Finding the Third Proportional to 411,246 and 951,974

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Solution

The third proportional to 411,246 and 951,974 is: 2,203,679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,246 : 951,974 = 951,974 : x
  2. Step 2: Convert to fraction form
    411,246/951,974 = 951,974/x
  3. Step 3: Cross multiply
    411,246x = 951,974 × 951,974
  4. Step 4: Simplify right side
    411,246x = 906,254,496,676
  5. Step 5: Solve for x
    x = 906,254,496,676/411,246
  6. Step 6: Final answer
    x = 2,203,679.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.