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Finding the Third Proportional to 3,760,476 and 5,728,843

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Solution

The third proportional to 3,760,476 and 5,728,843 is: 8,727,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760,476 : 5,728,843 = 5,728,843 : x
  2. Step 2: Convert to fraction form
    3,760,476/5,728,843 = 5,728,843/x
  3. Step 3: Cross multiply
    3,760,476x = 5,728,843 × 5,728,843
  4. Step 4: Simplify right side
    3,760,476x = 32,819,642,118,649
  5. Step 5: Solve for x
    x = 32,819,642,118,649/3,760,476
  6. Step 6: Final answer
    x = 8,727,523.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.