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Finding the Third Proportional to 665,065.69 and 1,462,986.56

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Solution

The third proportional to 665,065.69 and 1,462,986.56 is: 3,218,222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,065.69 : 1,462,986.56 = 1,462,986.56 : x
  2. Step 2: Convert to fraction form
    665,065.69/1,462,986.56 = 1,462,986.56/x
  3. Step 3: Cross multiply
    665,065.69x = 1,462,986.56 × 1,462,986.56
  4. Step 4: Simplify right side
    665,065.69x = 2,140,329,682,055.57
  5. Step 5: Solve for x
    x = 2,140,329,682,055.57/665,065.69
  6. Step 6: Final answer
    x = 3,218,222.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.