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Finding the Third Proportional to 938,144 and 1,829,626

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Solution

The third proportional to 938,144 and 1,829,626 is: 3,568,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,144 : 1,829,626 = 1,829,626 : x
  2. Step 2: Convert to fraction form
    938,144/1,829,626 = 1,829,626/x
  3. Step 3: Cross multiply
    938,144x = 1,829,626 × 1,829,626
  4. Step 4: Simplify right side
    938,144x = 3,347,531,299,876
  5. Step 5: Solve for x
    x = 3,347,531,299,876/938,144
  6. Step 6: Final answer
    x = 3,568,248.90

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.