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Finding the Third Proportional to 2,728,820 and 5,790,120

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Solution

The third proportional to 2,728,820 and 5,790,120 is: 12,285,709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728,820 : 5,790,120 = 5,790,120 : x
  2. Step 2: Convert to fraction form
    2,728,820/5,790,120 = 5,790,120/x
  3. Step 3: Cross multiply
    2,728,820x = 5,790,120 × 5,790,120
  4. Step 4: Simplify right side
    2,728,820x = 33,525,489,614,400
  5. Step 5: Solve for x
    x = 33,525,489,614,400/2,728,820
  6. Step 6: Final answer
    x = 12,285,709.43

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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.