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Finding the Third Proportional to 2,492,769 and 5,422,296

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Solution

The third proportional to 2,492,769 and 5,422,296 is: 11,794,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492,769 : 5,422,296 = 5,422,296 : x
  2. Step 2: Convert to fraction form
    2,492,769/5,422,296 = 5,422,296/x
  3. Step 3: Cross multiply
    2,492,769x = 5,422,296 × 5,422,296
  4. Step 4: Simplify right side
    2,492,769x = 29,401,293,911,616
  5. Step 5: Solve for x
    x = 29,401,293,911,616/2,492,769
  6. Step 6: Final answer
    x = 11,794,632.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.