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Finding the Third Proportional to 494,588,973 and 765,125,694

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Solution

The third proportional to 494,588,973 and 765,125,694 is: 1,183,644,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,588,973 : 765,125,694 = 765,125,694 : x
  2. Step 2: Convert to fraction form
    494,588,973/765,125,694 = 765,125,694/x
  3. Step 3: Cross multiply
    494,588,973x = 765,125,694 × 765,125,694
  4. Step 4: Simplify right side
    494,588,973x = 585,417,327,618,981,632
  5. Step 5: Solve for x
    x = 585,417,327,618,981,632/494,588,973
  6. Step 6: Final answer
    x = 1,183,644,115.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.