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Finding the Third Proportional to 473,256 and 1,033,249

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Solution

The third proportional to 473,256 and 1,033,249 is: 2,255,868.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,256 : 1,033,249 = 1,033,249 : x
  2. Step 2: Convert to fraction form
    473,256/1,033,249 = 1,033,249/x
  3. Step 3: Cross multiply
    473,256x = 1,033,249 × 1,033,249
  4. Step 4: Simplify right side
    473,256x = 1,067,603,496,001
  5. Step 5: Solve for x
    x = 1,067,603,496,001/473,256
  6. Step 6: Final answer
    x = 2,255,868.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.