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Finding the Third Proportional to 794,342 and 1,728,460

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Solution

The third proportional to 794,342 and 1,728,460 is: 3,761,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,342 : 1,728,460 = 1,728,460 : x
  2. Step 2: Convert to fraction form
    794,342/1,728,460 = 1,728,460/x
  3. Step 3: Cross multiply
    794,342x = 1,728,460 × 1,728,460
  4. Step 4: Simplify right side
    794,342x = 2,987,573,971,600
  5. Step 5: Solve for x
    x = 2,987,573,971,600/794,342
  6. Step 6: Final answer
    x = 3,761,067.62

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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.