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Finding the Third Proportional to 821,453.25 and 1,764,345

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Solution

The third proportional to 821,453.25 and 1,764,345 is: 3,789,519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,453.25 : 1,764,345 = 1,764,345 : x
  2. Step 2: Convert to fraction form
    821,453.25/1,764,345 = 1,764,345/x
  3. Step 3: Cross multiply
    821,453.25x = 1,764,345 × 1,764,345
  4. Step 4: Simplify right side
    821,453.25x = 3,112,913,279,025
  5. Step 5: Solve for x
    x = 3,112,913,279,025/821,453.25
  6. Step 6: Final answer
    x = 3,789,519.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.