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Finding the Third Proportional to 812,991 and 1,770,747

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Solution

The third proportional to 812,991 and 1,770,747 is: 3,856,801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,991 : 1,770,747 = 1,770,747 : x
  2. Step 2: Convert to fraction form
    812,991/1,770,747 = 1,770,747/x
  3. Step 3: Cross multiply
    812,991x = 1,770,747 × 1,770,747
  4. Step 4: Simplify right side
    812,991x = 3,135,544,938,009
  5. Step 5: Solve for x
    x = 3,135,544,938,009/812,991
  6. Step 6: Final answer
    x = 3,856,801.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.