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Finding the Third Proportional to 491,593,296.38 and 1,053,305,589.38

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Solution

The third proportional to 491,593,296.38 and 1,053,305,589.38 is: 2,256,850,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,593,296.38 : 1,053,305,589.38 = 1,053,305,589.38 : x
  2. Step 2: Convert to fraction form
    491,593,296.38/1,053,305,589.38 = 1,053,305,589.38/x
  3. Step 3: Cross multiply
    491,593,296.38x = 1,053,305,589.38 × 1,053,305,589.38
  4. Step 4: Simplify right side
    491,593,296.38x = 1,109,452,664,608,616,064
  5. Step 5: Solve for x
    x = 1,109,452,664,608,616,064/491,593,296.38
  6. Step 6: Final answer
    x = 2,256,850,678.78

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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.