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Finding the Third Proportional to 863,768 and 1,782,868

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Solution

The third proportional to 863,768 and 1,782,868 is: 3,679,944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,768 : 1,782,868 = 1,782,868 : x
  2. Step 2: Convert to fraction form
    863,768/1,782,868 = 1,782,868/x
  3. Step 3: Cross multiply
    863,768x = 1,782,868 × 1,782,868
  4. Step 4: Simplify right side
    863,768x = 3,178,618,305,424
  5. Step 5: Solve for x
    x = 3,178,618,305,424/863,768
  6. Step 6: Final answer
    x = 3,679,944.51

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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.