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Finding the Third Proportional to 938,638 and 1,921,016

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Solution

The third proportional to 938,638 and 1,921,016 is: 3,931,550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,638 : 1,921,016 = 1,921,016 : x
  2. Step 2: Convert to fraction form
    938,638/1,921,016 = 1,921,016/x
  3. Step 3: Cross multiply
    938,638x = 1,921,016 × 1,921,016
  4. Step 4: Simplify right side
    938,638x = 3,690,302,472,256
  5. Step 5: Solve for x
    x = 3,690,302,472,256/938,638
  6. Step 6: Final answer
    x = 3,931,550.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.