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Finding the Third Proportional to 795,376,192 and 1,728,428,819

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Solution

The third proportional to 795,376,192 and 1,728,428,819 is: 3,756,041,747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,376,192 : 1,728,428,819 = 1,728,428,819 : x
  2. Step 2: Convert to fraction form
    795,376,192/1,728,428,819 = 1,728,428,819/x
  3. Step 3: Cross multiply
    795,376,192x = 1,728,428,819 × 1,728,428,819
  4. Step 4: Simplify right side
    795,376,192x = 2,987,466,182,349,734,912
  5. Step 5: Solve for x
    x = 2,987,466,182,349,734,912/795,376,192
  6. Step 6: Final answer
    x = 3,756,041,747.79

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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.