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Finding the Third Proportional to 1,040,836.50 and 1,633,138.88

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Solution

The third proportional to 1,040,836.50 and 1,633,138.88 is: 2,562,499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040,836.50 : 1,633,138.88 = 1,633,138.88 : x
  2. Step 2: Convert to fraction form
    1,040,836.50/1,633,138.88 = 1,633,138.88/x
  3. Step 3: Cross multiply
    1,040,836.50x = 1,633,138.88 × 1,633,138.88
  4. Step 4: Simplify right side
    1,040,836.50x = 2,667,142,585,036.27
  5. Step 5: Solve for x
    x = 2,667,142,585,036.27/1,040,836.50
  6. Step 6: Final answer
    x = 2,562,499.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.