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Finding the Third Proportional to 751,921,605 and 1,149,494,337

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Solution

The third proportional to 751,921,605 and 1,149,494,337 is: 1,757,280,575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,921,605 : 1,149,494,337 = 1,149,494,337 : x
  2. Step 2: Convert to fraction form
    751,921,605/1,149,494,337 = 1,149,494,337/x
  3. Step 3: Cross multiply
    751,921,605x = 1,149,494,337 × 1,149,494,337
  4. Step 4: Simplify right side
    751,921,605x = 1,321,337,230,795,069,696
  5. Step 5: Solve for x
    x = 1,321,337,230,795,069,696/751,921,605
  6. Step 6: Final answer
    x = 1,757,280,575.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.