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Finding the Third Proportional to 1,157,012 and 2,491,824

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Solution

The third proportional to 1,157,012 and 2,491,824 is: 5,366,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,012 : 2,491,824 = 2,491,824 : x
  2. Step 2: Convert to fraction form
    1,157,012/2,491,824 = 2,491,824/x
  3. Step 3: Cross multiply
    1,157,012x = 2,491,824 × 2,491,824
  4. Step 4: Simplify right side
    1,157,012x = 6,209,186,846,976
  5. Step 5: Solve for x
    x = 6,209,186,846,976/1,157,012
  6. Step 6: Final answer
    x = 5,366,570.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.