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Finding the Third Proportional to 3,205,722 and 6,769,140

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Solution

The third proportional to 3,205,722 and 6,769,140 is: 14,293,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,722 : 6,769,140 = 6,769,140 : x
  2. Step 2: Convert to fraction form
    3,205,722/6,769,140 = 6,769,140/x
  3. Step 3: Cross multiply
    3,205,722x = 6,769,140 × 6,769,140
  4. Step 4: Simplify right side
    3,205,722x = 45,821,256,339,600
  5. Step 5: Solve for x
    x = 45,821,256,339,600/3,205,722
  6. Step 6: Final answer
    x = 14,293,583.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.