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Finding the Third Proportional to 776,749.50 and 1,661,436.56

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Solution

The third proportional to 776,749.50 and 1,661,436.56 is: 3,553,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,749.50 : 1,661,436.56 = 1,661,436.56 : x
  2. Step 2: Convert to fraction form
    776,749.50/1,661,436.56 = 1,661,436.56/x
  3. Step 3: Cross multiply
    776,749.50x = 1,661,436.56 × 1,661,436.56
  4. Step 4: Simplify right side
    776,749.50x = 2,760,371,451,211.82
  5. Step 5: Solve for x
    x = 2,760,371,451,211.82/776,749.50
  6. Step 6: Final answer
    x = 3,553,747.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.