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Finding the Third Proportional to 541,638 and 1,173,672

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Solution

The third proportional to 541,638 and 1,173,672 is: 2,543,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,638 : 1,173,672 = 1,173,672 : x
  2. Step 2: Convert to fraction form
    541,638/1,173,672 = 1,173,672/x
  3. Step 3: Cross multiply
    541,638x = 1,173,672 × 1,173,672
  4. Step 4: Simplify right side
    541,638x = 1,377,505,963,584
  5. Step 5: Solve for x
    x = 1,377,505,963,584/541,638
  6. Step 6: Final answer
    x = 2,543,222.53

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