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Finding the Third Proportional to 598,739.06 and 1,297,134.94

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Solution

The third proportional to 598,739.06 and 1,297,134.94 is: 2,810,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,739.06 : 1,297,134.94 = 1,297,134.94 : x
  2. Step 2: Convert to fraction form
    598,739.06/1,297,134.94 = 1,297,134.94/x
  3. Step 3: Cross multiply
    598,739.06x = 1,297,134.94 × 1,297,134.94
  4. Step 4: Simplify right side
    598,739.06x = 1,682,559,046,083.13
  5. Step 5: Solve for x
    x = 1,682,559,046,083.13/598,739.06
  6. Step 6: Final answer
    x = 2,810,170.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.