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Finding the Third Proportional to 3,257,223 and 6,432,699

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Solution

The third proportional to 3,257,223 and 6,432,699 is: 12,703,955.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257,223 : 6,432,699 = 6,432,699 : x
  2. Step 2: Convert to fraction form
    3,257,223/6,432,699 = 6,432,699/x
  3. Step 3: Cross multiply
    3,257,223x = 6,432,699 × 6,432,699
  4. Step 4: Simplify right side
    3,257,223x = 41,379,616,424,601
  5. Step 5: Solve for x
    x = 41,379,616,424,601/3,257,223
  6. Step 6: Final answer
    x = 12,703,955.62

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.