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Finding the Third Proportional to 479,977 and 1,028,263

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Solution

The third proportional to 479,977 and 1,028,263 is: 2,202,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,977 : 1,028,263 = 1,028,263 : x
  2. Step 2: Convert to fraction form
    479,977/1,028,263 = 1,028,263/x
  3. Step 3: Cross multiply
    479,977x = 1,028,263 × 1,028,263
  4. Step 4: Simplify right side
    479,977x = 1,057,324,797,169
  5. Step 5: Solve for x
    x = 1,057,324,797,169/479,977
  6. Step 6: Final answer
    x = 2,202,865.55

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Why These Related Problems?

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