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Finding the Third Proportional to 682,618.75 and 1,137,561.44

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Solution

The third proportional to 682,618.75 and 1,137,561.44 is: 1,895,708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,618.75 : 1,137,561.44 = 1,137,561.44 : x
  2. Step 2: Convert to fraction form
    682,618.75/1,137,561.44 = 1,137,561.44/x
  3. Step 3: Cross multiply
    682,618.75x = 1,137,561.44 × 1,137,561.44
  4. Step 4: Simplify right side
    682,618.75x = 1,294,046,024,087.07
  5. Step 5: Solve for x
    x = 1,294,046,024,087.07/682,618.75
  6. Step 6: Final answer
    x = 1,895,708.29

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.