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Finding the Third Proportional to 827,995.50 and 1,690,821

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Solution

The third proportional to 827,995.50 and 1,690,821 is: 3,452,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,995.50 : 1,690,821 = 1,690,821 : x
  2. Step 2: Convert to fraction form
    827,995.50/1,690,821 = 1,690,821/x
  3. Step 3: Cross multiply
    827,995.50x = 1,690,821 × 1,690,821
  4. Step 4: Simplify right side
    827,995.50x = 2,858,875,654,041
  5. Step 5: Solve for x
    x = 2,858,875,654,041/827,995.50
  6. Step 6: Final answer
    x = 3,452,767.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.