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Finding the Third Proportional to 340,691,162 and 741,169,420

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Solution

The third proportional to 340,691,162 and 741,169,420 is: 1,612,404,929.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,691,162 : 741,169,420 = 741,169,420 : x
  2. Step 2: Convert to fraction form
    340,691,162/741,169,420 = 741,169,420/x
  3. Step 3: Cross multiply
    340,691,162x = 741,169,420 × 741,169,420
  4. Step 4: Simplify right side
    340,691,162x = 549,332,109,143,136,384
  5. Step 5: Solve for x
    x = 549,332,109,143,136,384/340,691,162
  6. Step 6: Final answer
    x = 1,612,404,929.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.