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Finding the Third Proportional to 1,481,801 and 3,184,497

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Solution

The third proportional to 1,481,801 and 3,184,497 is: 6,843,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481,801 : 3,184,497 = 3,184,497 : x
  2. Step 2: Convert to fraction form
    1,481,801/3,184,497 = 3,184,497/x
  3. Step 3: Cross multiply
    1,481,801x = 3,184,497 × 3,184,497
  4. Step 4: Simplify right side
    1,481,801x = 10,141,021,143,009
  5. Step 5: Solve for x
    x = 10,141,021,143,009/1,481,801
  6. Step 6: Final answer
    x = 6,843,713.25

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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.