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Finding the Third Proportional to 541,640 and 1,173,676

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Solution

The third proportional to 541,640 and 1,173,676 is: 2,543,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,640 : 1,173,676 = 1,173,676 : x
  2. Step 2: Convert to fraction form
    541,640/1,173,676 = 1,173,676/x
  3. Step 3: Cross multiply
    541,640x = 1,173,676 × 1,173,676
  4. Step 4: Simplify right side
    541,640x = 1,377,515,352,976
  5. Step 5: Solve for x
    x = 1,377,515,352,976/541,640
  6. Step 6: Final answer
    x = 2,543,230.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.