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Finding the Third Proportional to 2,709,839 and 4,200,907

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Solution

The third proportional to 2,709,839 and 4,200,907 is: 6,512,423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709,839 : 4,200,907 = 4,200,907 : x
  2. Step 2: Convert to fraction form
    2,709,839/4,200,907 = 4,200,907/x
  3. Step 3: Cross multiply
    2,709,839x = 4,200,907 × 4,200,907
  4. Step 4: Simplify right side
    2,709,839x = 17,647,619,622,649
  5. Step 5: Solve for x
    x = 17,647,619,622,649/2,709,839
  6. Step 6: Final answer
    x = 6,512,423.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.