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Finding the Third Proportional to 793,826 and 1,190,883

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Solution

The third proportional to 793,826 and 1,190,883 is: 1,786,540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,826 : 1,190,883 = 1,190,883 : x
  2. Step 2: Convert to fraction form
    793,826/1,190,883 = 1,190,883/x
  3. Step 3: Cross multiply
    793,826x = 1,190,883 × 1,190,883
  4. Step 4: Simplify right side
    793,826x = 1,418,202,319,689
  5. Step 5: Solve for x
    x = 1,418,202,319,689/793,826
  6. Step 6: Final answer
    x = 1,786,540.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.