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Finding the Third Proportional to 866,846.81 and 1,380,538.69

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Solution

The third proportional to 866,846.81 and 1,380,538.69 is: 2,198,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,846.81 : 1,380,538.69 = 1,380,538.69 : x
  2. Step 2: Convert to fraction form
    866,846.81/1,380,538.69 = 1,380,538.69/x
  3. Step 3: Cross multiply
    866,846.81x = 1,380,538.69 × 1,380,538.69
  4. Step 4: Simplify right side
    866,846.81x = 1,905,887,067,684.22
  5. Step 5: Solve for x
    x = 1,905,887,067,684.22/866,846.81
  6. Step 6: Final answer
    x = 2,198,643.45

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.