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Finding the Third Proportional to 886,286.25 and 1,329,095.25

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Solution

The third proportional to 886,286.25 and 1,329,095.25 is: 1,993,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,286.25 : 1,329,095.25 = 1,329,095.25 : x
  2. Step 2: Convert to fraction form
    886,286.25/1,329,095.25 = 1,329,095.25/x
  3. Step 3: Cross multiply
    886,286.25x = 1,329,095.25 × 1,329,095.25
  4. Step 4: Simplify right side
    886,286.25x = 1,766,494,183,572.56
  5. Step 5: Solve for x
    x = 1,766,494,183,572.56/886,286.25
  6. Step 6: Final answer
    x = 1,993,141.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.