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Finding the Third Proportional to 2,000,205 and 4,238,452

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Solution

The third proportional to 2,000,205 and 4,238,452 is: 8,981,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,205 : 4,238,452 = 4,238,452 : x
  2. Step 2: Convert to fraction form
    2,000,205/4,238,452 = 4,238,452/x
  3. Step 3: Cross multiply
    2,000,205x = 4,238,452 × 4,238,452
  4. Step 4: Simplify right side
    2,000,205x = 17,964,475,356,304
  5. Step 5: Solve for x
    x = 17,964,475,356,304/2,000,205
  6. Step 6: Final answer
    x = 8,981,317.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.