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Finding the Third Proportional to 826,093.69 and 1,276,656.19

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Solution

The third proportional to 826,093.69 and 1,276,656.19 is: 1,972,961.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,093.69 : 1,276,656.19 = 1,276,656.19 : x
  2. Step 2: Convert to fraction form
    826,093.69/1,276,656.19 = 1,276,656.19/x
  3. Step 3: Cross multiply
    826,093.69x = 1,276,656.19 × 1,276,656.19
  4. Step 4: Simplify right side
    826,093.69x = 1,629,851,021,082.04
  5. Step 5: Solve for x
    x = 1,629,851,021,082.04/826,093.69
  6. Step 6: Final answer
    x = 1,972,961.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.