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Finding the Third Proportional to 483,086 and 1,049,278

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Solution

The third proportional to 483,086 and 1,049,278 is: 2,279,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,086 : 1,049,278 = 1,049,278 : x
  2. Step 2: Convert to fraction form
    483,086/1,049,278 = 1,049,278/x
  3. Step 3: Cross multiply
    483,086x = 1,049,278 × 1,049,278
  4. Step 4: Simplify right side
    483,086x = 1,100,984,321,284
  5. Step 5: Solve for x
    x = 1,100,984,321,284/483,086
  6. Step 6: Final answer
    x = 2,279,064.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.