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Finding the Third Proportional to 2,036,198 and 4,387,108

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Solution

The third proportional to 2,036,198 and 4,387,108 is: 9,452,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036,198 : 4,387,108 = 4,387,108 : x
  2. Step 2: Convert to fraction form
    2,036,198/4,387,108 = 4,387,108/x
  3. Step 3: Cross multiply
    2,036,198x = 4,387,108 × 4,387,108
  4. Step 4: Simplify right side
    2,036,198x = 19,246,716,603,664
  5. Step 5: Solve for x
    x = 19,246,716,603,664/2,036,198
  6. Step 6: Final answer
    x = 9,452,281.46

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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.