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Finding the Third Proportional to 481,504 and 1,025,216

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Solution

The third proportional to 481,504 and 1,025,216 is: 2,182,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,504 : 1,025,216 = 1,025,216 : x
  2. Step 2: Convert to fraction form
    481,504/1,025,216 = 1,025,216/x
  3. Step 3: Cross multiply
    481,504x = 1,025,216 × 1,025,216
  4. Step 4: Simplify right side
    481,504x = 1,051,067,846,656
  5. Step 5: Solve for x
    x = 1,051,067,846,656/481,504
  6. Step 6: Final answer
    x = 2,182,884.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.