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Finding the Third Proportional to 769,839.19 and 1,207,629

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Solution

The third proportional to 769,839.19 and 1,207,629 is: 1,894,379.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,839.19 : 1,207,629 = 1,207,629 : x
  2. Step 2: Convert to fraction form
    769,839.19/1,207,629 = 1,207,629/x
  3. Step 3: Cross multiply
    769,839.19x = 1,207,629 × 1,207,629
  4. Step 4: Simplify right side
    769,839.19x = 1,458,367,801,641
  5. Step 5: Solve for x
    x = 1,458,367,801,641/769,839.19
  6. Step 6: Final answer
    x = 1,894,379.79

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.