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Finding the Third Proportional to 616,617 and 1,344,993

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Solution

The third proportional to 616,617 and 1,344,993 is: 2,933,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,617 : 1,344,993 = 1,344,993 : x
  2. Step 2: Convert to fraction form
    616,617/1,344,993 = 1,344,993/x
  3. Step 3: Cross multiply
    616,617x = 1,344,993 × 1,344,993
  4. Step 4: Simplify right side
    616,617x = 1,809,006,170,049
  5. Step 5: Solve for x
    x = 1,809,006,170,049/616,617
  6. Step 6: Final answer
    x = 2,933,759.81

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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.