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Finding the Third Proportional to 2,061,796 and 4,181,576

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Solution

The third proportional to 2,061,796 and 4,181,576 is: 8,480,750.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061,796 : 4,181,576 = 4,181,576 : x
  2. Step 2: Convert to fraction form
    2,061,796/4,181,576 = 4,181,576/x
  3. Step 3: Cross multiply
    2,061,796x = 4,181,576 × 4,181,576
  4. Step 4: Simplify right side
    2,061,796x = 17,485,577,843,776
  5. Step 5: Solve for x
    x = 17,485,577,843,776/2,061,796
  6. Step 6: Final answer
    x = 8,480,750.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.