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Finding the Third Proportional to 3,790,208 and 8,218,774

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Solution

The third proportional to 3,790,208 and 8,218,774 is: 17,821,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790,208 : 8,218,774 = 8,218,774 : x
  2. Step 2: Convert to fraction form
    3,790,208/8,218,774 = 8,218,774/x
  3. Step 3: Cross multiply
    3,790,208x = 8,218,774 × 8,218,774
  4. Step 4: Simplify right side
    3,790,208x = 67,548,246,063,076
  5. Step 5: Solve for x
    x = 67,548,246,063,076/3,790,208
  6. Step 6: Final answer
    x = 17,821,778.14

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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.