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Finding the Third Proportional to 2,814,801 and 6,028,184

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Solution

The third proportional to 2,814,801 and 6,028,184 is: 12,909,972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814,801 : 6,028,184 = 6,028,184 : x
  2. Step 2: Convert to fraction form
    2,814,801/6,028,184 = 6,028,184/x
  3. Step 3: Cross multiply
    2,814,801x = 6,028,184 × 6,028,184
  4. Step 4: Simplify right side
    2,814,801x = 36,339,002,337,856
  5. Step 5: Solve for x
    x = 36,339,002,337,856/2,814,801
  6. Step 6: Final answer
    x = 12,909,972.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.