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Finding the Third Proportional to 4,408,458 and 6,809,109

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Solution

The third proportional to 4,408,458 and 6,809,109 is: 10,517,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408,458 : 6,809,109 = 6,809,109 : x
  2. Step 2: Convert to fraction form
    4,408,458/6,809,109 = 6,809,109/x
  3. Step 3: Cross multiply
    4,408,458x = 6,809,109 × 6,809,109
  4. Step 4: Simplify right side
    4,408,458x = 46,363,965,373,881
  5. Step 5: Solve for x
    x = 46,363,965,373,881/4,408,458
  6. Step 6: Final answer
    x = 10,517,048.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.