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Finding the Third Proportional to 2,026,512 and 3,162,456

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Solution

The third proportional to 2,026,512 and 3,162,456 is: 4,935,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026,512 : 3,162,456 = 3,162,456 : x
  2. Step 2: Convert to fraction form
    2,026,512/3,162,456 = 3,162,456/x
  3. Step 3: Cross multiply
    2,026,512x = 3,162,456 × 3,162,456
  4. Step 4: Simplify right side
    2,026,512x = 10,001,127,951,936
  5. Step 5: Solve for x
    x = 10,001,127,951,936/2,026,512
  6. Step 6: Final answer
    x = 4,935,143.71

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.