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Finding the Third Proportional to 825,867 and 1,202,848

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Solution

The third proportional to 825,867 and 1,202,848 is: 1,751,908.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,867 : 1,202,848 = 1,202,848 : x
  2. Step 2: Convert to fraction form
    825,867/1,202,848 = 1,202,848/x
  3. Step 3: Cross multiply
    825,867x = 1,202,848 × 1,202,848
  4. Step 4: Simplify right side
    825,867x = 1,446,843,311,104
  5. Step 5: Solve for x
    x = 1,446,843,311,104/825,867
  6. Step 6: Final answer
    x = 1,751,908.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.