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Finding the Third Proportional to 754,165.69 and 1,541,546.44

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Solution

The third proportional to 754,165.69 and 1,541,546.44 is: 3,150,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,165.69 : 1,541,546.44 = 1,541,546.44 : x
  2. Step 2: Convert to fraction form
    754,165.69/1,541,546.44 = 1,541,546.44/x
  3. Step 3: Cross multiply
    754,165.69x = 1,541,546.44 × 1,541,546.44
  4. Step 4: Simplify right side
    754,165.69x = 2,376,365,418,968.94
  5. Step 5: Solve for x
    x = 2,376,365,418,968.94/754,165.69
  6. Step 6: Final answer
    x = 3,150,985.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.