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Finding the Third Proportional to 1,322,384 and 2,864,512

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Solution

The third proportional to 1,322,384 and 2,864,512 is: 6,205,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322,384 : 2,864,512 = 2,864,512 : x
  2. Step 2: Convert to fraction form
    1,322,384/2,864,512 = 2,864,512/x
  3. Step 3: Cross multiply
    1,322,384x = 2,864,512 × 2,864,512
  4. Step 4: Simplify right side
    1,322,384x = 8,205,428,998,144
  5. Step 5: Solve for x
    x = 8,205,428,998,144/1,322,384
  6. Step 6: Final answer
    x = 6,205,027.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.