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Finding the Third Proportional to 616,168 and 1,324,016

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Solution

The third proportional to 616,168 and 1,324,016 is: 2,845,033.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,168 : 1,324,016 = 1,324,016 : x
  2. Step 2: Convert to fraction form
    616,168/1,324,016 = 1,324,016/x
  3. Step 3: Cross multiply
    616,168x = 1,324,016 × 1,324,016
  4. Step 4: Simplify right side
    616,168x = 1,753,018,368,256
  5. Step 5: Solve for x
    x = 1,753,018,368,256/616,168
  6. Step 6: Final answer
    x = 2,845,033.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.