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Finding the Third Proportional to 820,826 and 1,233,615

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Solution

The third proportional to 820,826 and 1,233,615 is: 1,853,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,826 : 1,233,615 = 1,233,615 : x
  2. Step 2: Convert to fraction form
    820,826/1,233,615 = 1,233,615/x
  3. Step 3: Cross multiply
    820,826x = 1,233,615 × 1,233,615
  4. Step 4: Simplify right side
    820,826x = 1,521,805,968,225
  5. Step 5: Solve for x
    x = 1,521,805,968,225/820,826
  6. Step 6: Final answer
    x = 1,853,993.38

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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.