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Finding the Third Proportional to 523,993 and 1,067,255

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Solution

The third proportional to 523,993 and 1,067,255 is: 2,173,756.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,993 : 1,067,255 = 1,067,255 : x
  2. Step 2: Convert to fraction form
    523,993/1,067,255 = 1,067,255/x
  3. Step 3: Cross multiply
    523,993x = 1,067,255 × 1,067,255
  4. Step 4: Simplify right side
    523,993x = 1,139,033,235,025
  5. Step 5: Solve for x
    x = 1,139,033,235,025/523,993
  6. Step 6: Final answer
    x = 2,173,756.59

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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.