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Finding the Third Proportional to 3,211,628 and 4,616,234

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Solution

The third proportional to 3,211,628 and 4,616,234 is: 6,635,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,628 : 4,616,234 = 4,616,234 : x
  2. Step 2: Convert to fraction form
    3,211,628/4,616,234 = 4,616,234/x
  3. Step 3: Cross multiply
    3,211,628x = 4,616,234 × 4,616,234
  4. Step 4: Simplify right side
    3,211,628x = 21,309,616,342,756
  5. Step 5: Solve for x
    x = 21,309,616,342,756/3,211,628
  6. Step 6: Final answer
    x = 6,635,144.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.