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Finding the Third Proportional to 863,767 and 1,782,866

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Solution

The third proportional to 863,767 and 1,782,866 is: 3,679,940.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,767 : 1,782,866 = 1,782,866 : x
  2. Step 2: Convert to fraction form
    863,767/1,782,866 = 1,782,866/x
  3. Step 3: Cross multiply
    863,767x = 1,782,866 × 1,782,866
  4. Step 4: Simplify right side
    863,767x = 3,178,611,173,956
  5. Step 5: Solve for x
    x = 3,178,611,173,956/863,767
  6. Step 6: Final answer
    x = 3,679,940.51

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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.