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Finding the Third Proportional to 422,794,262.25 and 646,827,879.38

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Solution

The third proportional to 422,794,262.25 and 646,827,879.38 is: 989,574,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,794,262.25 : 646,827,879.38 = 646,827,879.38 : x
  2. Step 2: Convert to fraction form
    422,794,262.25/646,827,879.38 = 646,827,879.38/x
  3. Step 3: Cross multiply
    422,794,262.25x = 646,827,879.38 × 646,827,879.38
  4. Step 4: Simplify right side
    422,794,262.25x = 418,386,305,536,759,552
  5. Step 5: Solve for x
    x = 418,386,305,536,759,552/422,794,262.25
  6. Step 6: Final answer
    x = 989,574,227.69

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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.