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Finding the Third Proportional to 2,378,805 and 3,830,238

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Solution

The third proportional to 2,378,805 and 3,830,238 is: 6,167,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378,805 : 3,830,238 = 3,830,238 : x
  2. Step 2: Convert to fraction form
    2,378,805/3,830,238 = 3,830,238/x
  3. Step 3: Cross multiply
    2,378,805x = 3,830,238 × 3,830,238
  4. Step 4: Simplify right side
    2,378,805x = 14,670,723,136,644
  5. Step 5: Solve for x
    x = 14,670,723,136,644/2,378,805
  6. Step 6: Final answer
    x = 6,167,265.97

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.