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Finding the Third Proportional to 693,896.63 and 1,040,841.56

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Solution

The third proportional to 693,896.63 and 1,040,841.56 is: 1,561,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,896.63 : 1,040,841.56 = 1,040,841.56 : x
  2. Step 2: Convert to fraction form
    693,896.63/1,040,841.56 = 1,040,841.56/x
  3. Step 3: Cross multiply
    693,896.63x = 1,040,841.56 × 1,040,841.56
  4. Step 4: Simplify right side
    693,896.63x = 1,083,351,158,227.44
  5. Step 5: Solve for x
    x = 1,083,351,158,227.44/693,896.63
  6. Step 6: Final answer
    x = 1,561,257.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.