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Finding the Third Proportional to 589,110.75 and 1,283,194

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Solution

The third proportional to 589,110.75 and 1,283,194 is: 2,795,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,110.75 : 1,283,194 = 1,283,194 : x
  2. Step 2: Convert to fraction form
    589,110.75/1,283,194 = 1,283,194/x
  3. Step 3: Cross multiply
    589,110.75x = 1,283,194 × 1,283,194
  4. Step 4: Simplify right side
    589,110.75x = 1,646,586,841,636
  5. Step 5: Solve for x
    x = 1,646,586,841,636/589,110.75
  6. Step 6: Final answer
    x = 2,795,037.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.