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Finding the Third Proportional to 863,738 and 1,782,799

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Solution

The third proportional to 863,738 and 1,782,799 is: 3,679,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,738 : 1,782,799 = 1,782,799 : x
  2. Step 2: Convert to fraction form
    863,738/1,782,799 = 1,782,799/x
  3. Step 3: Cross multiply
    863,738x = 1,782,799 × 1,782,799
  4. Step 4: Simplify right side
    863,738x = 3,178,372,274,401
  5. Step 5: Solve for x
    x = 3,178,372,274,401/863,738
  6. Step 6: Final answer
    x = 3,679,787.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.