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Finding the Third Proportional to 952,608 and 1,297,296

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Solution

The third proportional to 952,608 and 1,297,296 is: 1,766,704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,608 : 1,297,296 = 1,297,296 : x
  2. Step 2: Convert to fraction form
    952,608/1,297,296 = 1,297,296/x
  3. Step 3: Cross multiply
    952,608x = 1,297,296 × 1,297,296
  4. Step 4: Simplify right side
    952,608x = 1,682,976,911,616
  5. Step 5: Solve for x
    x = 1,682,976,911,616/952,608
  6. Step 6: Final answer
    x = 1,766,704.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.