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Finding the Third Proportional to 2,628,408 and 3,839,266

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Solution

The third proportional to 2,628,408 and 3,839,266 is: 5,607,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628,408 : 3,839,266 = 3,839,266 : x
  2. Step 2: Convert to fraction form
    2,628,408/3,839,266 = 3,839,266/x
  3. Step 3: Cross multiply
    2,628,408x = 3,839,266 × 3,839,266
  4. Step 4: Simplify right side
    2,628,408x = 14,739,963,418,756
  5. Step 5: Solve for x
    x = 14,739,963,418,756/2,628,408
  6. Step 6: Final answer
    x = 5,607,943.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.