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Finding the Third Proportional to 2,000,201 and 4,238,444

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Solution

The third proportional to 2,000,201 and 4,238,444 is: 8,981,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,201 : 4,238,444 = 4,238,444 : x
  2. Step 2: Convert to fraction form
    2,000,201/4,238,444 = 4,238,444/x
  3. Step 3: Cross multiply
    2,000,201x = 4,238,444 × 4,238,444
  4. Step 4: Simplify right side
    2,000,201x = 17,964,407,541,136
  5. Step 5: Solve for x
    x = 17,964,407,541,136/2,000,201
  6. Step 6: Final answer
    x = 8,981,301.15

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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.