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Finding the Third Proportional to 580,791.09 and 1,245,619.69

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Solution

The third proportional to 580,791.09 and 1,245,619.69 is: 2,671,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,791.09 : 1,245,619.69 = 1,245,619.69 : x
  2. Step 2: Convert to fraction form
    580,791.09/1,245,619.69 = 1,245,619.69/x
  3. Step 3: Cross multiply
    580,791.09x = 1,245,619.69 × 1,245,619.69
  4. Step 4: Simplify right side
    580,791.09x = 1,551,568,405,887.60
  5. Step 5: Solve for x
    x = 1,551,568,405,887.60/580,791.09
  6. Step 6: Final answer
    x = 2,671,474.17

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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.