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Finding the Third Proportional to 794,352 and 1,728,480

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Solution

The third proportional to 794,352 and 1,728,480 is: 3,761,107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,352 : 1,728,480 = 1,728,480 : x
  2. Step 2: Convert to fraction form
    794,352/1,728,480 = 1,728,480/x
  3. Step 3: Cross multiply
    794,352x = 1,728,480 × 1,728,480
  4. Step 4: Simplify right side
    794,352x = 2,987,643,110,400
  5. Step 5: Solve for x
    x = 2,987,643,110,400/794,352
  6. Step 6: Final answer
    x = 3,761,107.31

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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.