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Finding the Third Proportional to 728,065.97 and 1,139,632.03

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Solution

The third proportional to 728,065.97 and 1,139,632.03 is: 1,783,850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,065.97 : 1,139,632.03 = 1,139,632.03 : x
  2. Step 2: Convert to fraction form
    728,065.97/1,139,632.03 = 1,139,632.03/x
  3. Step 3: Cross multiply
    728,065.97x = 1,139,632.03 × 1,139,632.03
  4. Step 4: Simplify right side
    728,065.97x = 1,298,761,166,651.00
  5. Step 5: Solve for x
    x = 1,298,761,166,651.00/728,065.97
  6. Step 6: Final answer
    x = 1,783,850.95

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.