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Finding the Third Proportional to 538,093.50 and 1,131,954

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Solution

The third proportional to 538,093.50 and 1,131,954 is: 2,381,221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,093.50 : 1,131,954 = 1,131,954 : x
  2. Step 2: Convert to fraction form
    538,093.50/1,131,954 = 1,131,954/x
  3. Step 3: Cross multiply
    538,093.50x = 1,131,954 × 1,131,954
  4. Step 4: Simplify right side
    538,093.50x = 1,281,319,858,116
  5. Step 5: Solve for x
    x = 1,281,319,858,116/538,093.50
  6. Step 6: Final answer
    x = 2,381,221.59

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.