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Finding the Third Proportional to 807,039 and 1,770,810

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Solution

The third proportional to 807,039 and 1,770,810 is: 3,885,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,039 : 1,770,810 = 1,770,810 : x
  2. Step 2: Convert to fraction form
    807,039/1,770,810 = 1,770,810/x
  3. Step 3: Cross multiply
    807,039x = 1,770,810 × 1,770,810
  4. Step 4: Simplify right side
    807,039x = 3,135,768,056,100
  5. Step 5: Solve for x
    x = 3,135,768,056,100/807,039
  6. Step 6: Final answer
    x = 3,885,522.33

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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.