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Finding the Third Proportional to 1,682,913 and 3,622,425

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Solution

The third proportional to 1,682,913 and 3,622,425 is: 7,797,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,913 : 3,622,425 = 3,622,425 : x
  2. Step 2: Convert to fraction form
    1,682,913/3,622,425 = 3,622,425/x
  3. Step 3: Cross multiply
    1,682,913x = 3,622,425 × 3,622,425
  4. Step 4: Simplify right side
    1,682,913x = 13,121,962,880,625
  5. Step 5: Solve for x
    x = 13,121,962,880,625/1,682,913
  6. Step 6: Final answer
    x = 7,797,172.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.