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Finding the Third Proportional to 777,625 and 1,269,795

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Solution

The third proportional to 777,625 and 1,269,795 is: 2,073,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,625 : 1,269,795 = 1,269,795 : x
  2. Step 2: Convert to fraction form
    777,625/1,269,795 = 1,269,795/x
  3. Step 3: Cross multiply
    777,625x = 1,269,795 × 1,269,795
  4. Step 4: Simplify right side
    777,625x = 1,612,379,342,025
  5. Step 5: Solve for x
    x = 1,612,379,342,025/777,625
  6. Step 6: Final answer
    x = 2,073,466.44

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.