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Finding the Third Proportional to 739,342.69 and 1,589,106.09

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Solution

The third proportional to 739,342.69 and 1,589,106.09 is: 3,415,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,342.69 : 1,589,106.09 = 1,589,106.09 : x
  2. Step 2: Convert to fraction form
    739,342.69/1,589,106.09 = 1,589,106.09/x
  3. Step 3: Cross multiply
    739,342.69x = 1,589,106.09 × 1,589,106.09
  4. Step 4: Simplify right side
    739,342.69x = 2,525,258,177,193.38
  5. Step 5: Solve for x
    x = 2,525,258,177,193.38/739,342.69
  6. Step 6: Final answer
    x = 3,415,544.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.