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Finding the Third Proportional to 905,256 and 1,682,127

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Solution

The third proportional to 905,256 and 1,682,127 is: 3,125,691.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,256 : 1,682,127 = 1,682,127 : x
  2. Step 2: Convert to fraction form
    905,256/1,682,127 = 1,682,127/x
  3. Step 3: Cross multiply
    905,256x = 1,682,127 × 1,682,127
  4. Step 4: Simplify right side
    905,256x = 2,829,551,244,129
  5. Step 5: Solve for x
    x = 2,829,551,244,129/905,256
  6. Step 6: Final answer
    x = 3,125,691.79

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.