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Finding the Third Proportional to 1,079.26 and 1,721.57

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Solution

The third proportional to 1,079.26 and 1,721.57 is: 2,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.26 : 1,721.57 = 1,721.57 : x
  2. Step 2: Convert to fraction form
    1,079.26/1,721.57 = 1,721.57/x
  3. Step 3: Cross multiply
    1,079.26x = 1,721.57 × 1,721.57
  4. Step 4: Simplify right side
    1,079.26x = 2,963,790.89
  5. Step 5: Solve for x
    x = 2,963,790.89/1,079.26
  6. Step 6: Final answer
    x = 2,746.13

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.