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Finding the Third Proportional to 777,831 and 1,166,760

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Solution

The third proportional to 777,831 and 1,166,760 is: 1,750,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,831 : 1,166,760 = 1,166,760 : x
  2. Step 2: Convert to fraction form
    777,831/1,166,760 = 1,166,760/x
  3. Step 3: Cross multiply
    777,831x = 1,166,760 × 1,166,760
  4. Step 4: Simplify right side
    777,831x = 1,361,328,897,600
  5. Step 5: Solve for x
    x = 1,361,328,897,600/777,831
  6. Step 6: Final answer
    x = 1,750,160.25

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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.