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Finding the Third Proportional to 795,376,198 and 1,728,428,834

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Solution

The third proportional to 795,376,198 and 1,728,428,834 is: 3,756,041,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,376,198 : 1,728,428,834 = 1,728,428,834 : x
  2. Step 2: Convert to fraction form
    795,376,198/1,728,428,834 = 1,728,428,834/x
  3. Step 3: Cross multiply
    795,376,198x = 1,728,428,834 × 1,728,428,834
  4. Step 4: Simplify right side
    795,376,198x = 2,987,466,234,202,599,424
  5. Step 5: Solve for x
    x = 2,987,466,234,202,599,424/795,376,198
  6. Step 6: Final answer
    x = 3,756,041,784.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.