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Finding the Third Proportional to 807,032 and 1,770,796

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Solution

The third proportional to 807,032 and 1,770,796 is: 3,885,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,032 : 1,770,796 = 1,770,796 : x
  2. Step 2: Convert to fraction form
    807,032/1,770,796 = 1,770,796/x
  3. Step 3: Cross multiply
    807,032x = 1,770,796 × 1,770,796
  4. Step 4: Simplify right side
    807,032x = 3,135,718,473,616
  5. Step 5: Solve for x
    x = 3,135,718,473,616/807,032
  6. Step 6: Final answer
    x = 3,885,494.59

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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.