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Finding the Third Proportional to 509,324,832 and 1,091,257,830

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Solution

The third proportional to 509,324,832 and 1,091,257,830 is: 2,338,082,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,324,832 : 1,091,257,830 = 1,091,257,830 : x
  2. Step 2: Convert to fraction form
    509,324,832/1,091,257,830 = 1,091,257,830/x
  3. Step 3: Cross multiply
    509,324,832x = 1,091,257,830 × 1,091,257,830
  4. Step 4: Simplify right side
    509,324,832x = 1,190,843,651,536,308,992
  5. Step 5: Solve for x
    x = 1,190,843,651,536,308,992/509,324,832
  6. Step 6: Final answer
    x = 2,338,082,843.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.