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Finding the Third Proportional to 728,238 and 1,491,468

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Solution

The third proportional to 728,238 and 1,491,468 is: 3,054,601.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,238 : 1,491,468 = 1,491,468 : x
  2. Step 2: Convert to fraction form
    728,238/1,491,468 = 1,491,468/x
  3. Step 3: Cross multiply
    728,238x = 1,491,468 × 1,491,468
  4. Step 4: Simplify right side
    728,238x = 2,224,476,795,024
  5. Step 5: Solve for x
    x = 2,224,476,795,024/728,238
  6. Step 6: Final answer
    x = 3,054,601.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.