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Finding the Third Proportional to 3,829,788 and 8,297,832

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Solution

The third proportional to 3,829,788 and 8,297,832 is: 17,978,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829,788 : 8,297,832 = 8,297,832 : x
  2. Step 2: Convert to fraction form
    3,829,788/8,297,832 = 8,297,832/x
  3. Step 3: Cross multiply
    3,829,788x = 8,297,832 × 8,297,832
  4. Step 4: Simplify right side
    3,829,788x = 68,854,015,900,224
  5. Step 5: Solve for x
    x = 68,854,015,900,224/3,829,788
  6. Step 6: Final answer
    x = 17,978,545.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.