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Finding the Third Proportional to 498,600 and 1,067,256

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Solution

The third proportional to 498,600 and 1,067,256 is: 2,284,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,600 : 1,067,256 = 1,067,256 : x
  2. Step 2: Convert to fraction form
    498,600/1,067,256 = 1,067,256/x
  3. Step 3: Cross multiply
    498,600x = 1,067,256 × 1,067,256
  4. Step 4: Simplify right side
    498,600x = 1,139,035,369,536
  5. Step 5: Solve for x
    x = 1,139,035,369,536/498,600
  6. Step 6: Final answer
    x = 2,284,467.25

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.