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Finding the Third Proportional to 548,083.13 and 1,195,764.19

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Solution

The third proportional to 548,083.13 and 1,195,764.19 is: 2,608,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,083.13 : 1,195,764.19 = 1,195,764.19 : x
  2. Step 2: Convert to fraction form
    548,083.13/1,195,764.19 = 1,195,764.19/x
  3. Step 3: Cross multiply
    548,083.13x = 1,195,764.19 × 1,195,764.19
  4. Step 4: Simplify right side
    548,083.13x = 1,429,851,992,107.54
  5. Step 5: Solve for x
    x = 1,429,851,992,107.54/548,083.13
  6. Step 6: Final answer
    x = 2,608,823.24

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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.