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Finding the Third Proportional to 3,715,211.81 and 5,231,822.06

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Solution

The third proportional to 3,715,211.81 and 5,231,822.06 is: 7,367,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715,211.81 : 5,231,822.06 = 5,231,822.06 : x
  2. Step 2: Convert to fraction form
    3,715,211.81/5,231,822.06 = 5,231,822.06/x
  3. Step 3: Cross multiply
    3,715,211.81x = 5,231,822.06 × 5,231,822.06
  4. Step 4: Simplify right side
    3,715,211.81x = 27,371,962,093,661.75
  5. Step 5: Solve for x
    x = 27,371,962,093,661.75/3,715,211.81
  6. Step 6: Final answer
    x = 7,367,537.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.