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Finding the Third Proportional to 2,285,197 and 3,472,678

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Solution

The third proportional to 2,285,197 and 3,472,678 is: 5,277,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285,197 : 3,472,678 = 3,472,678 : x
  2. Step 2: Convert to fraction form
    2,285,197/3,472,678 = 3,472,678/x
  3. Step 3: Cross multiply
    2,285,197x = 3,472,678 × 3,472,678
  4. Step 4: Simplify right side
    2,285,197x = 12,059,492,491,684
  5. Step 5: Solve for x
    x = 12,059,492,491,684/2,285,197
  6. Step 6: Final answer
    x = 5,277,222.27

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