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Finding the Third Proportional to 490,422 and 1,033,332

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Solution

The third proportional to 490,422 and 1,033,332 is: 2,177,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,422 : 1,033,332 = 1,033,332 : x
  2. Step 2: Convert to fraction form
    490,422/1,033,332 = 1,033,332/x
  3. Step 3: Cross multiply
    490,422x = 1,033,332 × 1,033,332
  4. Step 4: Simplify right side
    490,422x = 1,067,775,022,224
  5. Step 5: Solve for x
    x = 1,067,775,022,224/490,422
  6. Step 6: Final answer
    x = 2,177,257.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.