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Finding the Third Proportional to 1,024,156 and 2,244,231

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Solution

The third proportional to 1,024,156 and 2,244,231 is: 4,917,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,156 : 2,244,231 = 2,244,231 : x
  2. Step 2: Convert to fraction form
    1,024,156/2,244,231 = 2,244,231/x
  3. Step 3: Cross multiply
    1,024,156x = 2,244,231 × 2,244,231
  4. Step 4: Simplify right side
    1,024,156x = 5,036,572,781,361
  5. Step 5: Solve for x
    x = 5,036,572,781,361/1,024,156
  6. Step 6: Final answer
    x = 4,917,778.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.