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Finding the Third Proportional to 775,852 and 1,204,122

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Solution

The third proportional to 775,852 and 1,204,122 is: 1,868,796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,852 : 1,204,122 = 1,204,122 : x
  2. Step 2: Convert to fraction form
    775,852/1,204,122 = 1,204,122/x
  3. Step 3: Cross multiply
    775,852x = 1,204,122 × 1,204,122
  4. Step 4: Simplify right side
    775,852x = 1,449,909,790,884
  5. Step 5: Solve for x
    x = 1,449,909,790,884/775,852
  6. Step 6: Final answer
    x = 1,868,796.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.