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Finding the Third Proportional to 512,844 and 1,115,993

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Solution

The third proportional to 512,844 and 1,115,993 is: 2,428,497.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,844 : 1,115,993 = 1,115,993 : x
  2. Step 2: Convert to fraction form
    512,844/1,115,993 = 1,115,993/x
  3. Step 3: Cross multiply
    512,844x = 1,115,993 × 1,115,993
  4. Step 4: Simplify right side
    512,844x = 1,245,440,376,049
  5. Step 5: Solve for x
    x = 1,245,440,376,049/512,844
  6. Step 6: Final answer
    x = 2,428,497.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.