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Finding the Third Proportional to 733,391.72 and 1,166,972.06

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Solution

The third proportional to 733,391.72 and 1,166,972.06 is: 1,856,884.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,391.72 : 1,166,972.06 = 1,166,972.06 : x
  2. Step 2: Convert to fraction form
    733,391.72/1,166,972.06 = 1,166,972.06/x
  3. Step 3: Cross multiply
    733,391.72x = 1,166,972.06 × 1,166,972.06
  4. Step 4: Simplify right side
    733,391.72x = 1,361,823,794,655.50
  5. Step 5: Solve for x
    x = 1,361,823,794,655.50/733,391.72
  6. Step 6: Final answer
    x = 1,856,884.61

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.