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Finding the Third Proportional to 474,063 and 1,033,338

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Solution

The third proportional to 474,063 and 1,033,338 is: 2,252,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,063 : 1,033,338 = 1,033,338 : x
  2. Step 2: Convert to fraction form
    474,063/1,033,338 = 1,033,338/x
  3. Step 3: Cross multiply
    474,063x = 1,033,338 × 1,033,338
  4. Step 4: Simplify right side
    474,063x = 1,067,787,422,244
  5. Step 5: Solve for x
    x = 1,067,787,422,244/474,063
  6. Step 6: Final answer
    x = 2,252,416.71

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Why These Related Problems?

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