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Finding the Third Proportional to 1,194,535.69 and 2,599,023.38

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Solution

The third proportional to 1,194,535.69 and 2,599,023.38 is: 5,654,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194,535.69 : 2,599,023.38 = 2,599,023.38 : x
  2. Step 2: Convert to fraction form
    1,194,535.69/2,599,023.38 = 2,599,023.38/x
  3. Step 3: Cross multiply
    1,194,535.69x = 2,599,023.38 × 2,599,023.38
  4. Step 4: Simplify right side
    1,194,535.69x = 6,754,922,503,796.39
  5. Step 5: Solve for x
    x = 6,754,922,503,796.39/1,194,535.69
  6. Step 6: Final answer
    x = 5,654,851.99

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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.