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Finding the Third Proportional to 534,853.50 and 1,174,665

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Solution

The third proportional to 534,853.50 and 1,174,665 is: 2,579,842.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,853.50 : 1,174,665 = 1,174,665 : x
  2. Step 2: Convert to fraction form
    534,853.50/1,174,665 = 1,174,665/x
  3. Step 3: Cross multiply
    534,853.50x = 1,174,665 × 1,174,665
  4. Step 4: Simplify right side
    534,853.50x = 1,379,837,862,225
  5. Step 5: Solve for x
    x = 1,379,837,862,225/534,853.50
  6. Step 6: Final answer
    x = 2,579,842.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.