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Finding the Third Proportional to 809,197 and 1,770,781

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Solution

The third proportional to 809,197 and 1,770,781 is: 3,875,033.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,197 : 1,770,781 = 1,770,781 : x
  2. Step 2: Convert to fraction form
    809,197/1,770,781 = 1,770,781/x
  3. Step 3: Cross multiply
    809,197x = 1,770,781 × 1,770,781
  4. Step 4: Simplify right side
    809,197x = 3,135,665,349,961
  5. Step 5: Solve for x
    x = 3,135,665,349,961/809,197
  6. Step 6: Final answer
    x = 3,875,033.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.