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Finding the Third Proportional to 728,168 and 1,514,480

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Solution

The third proportional to 728,168 and 1,514,480 is: 3,149,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,168 : 1,514,480 = 1,514,480 : x
  2. Step 2: Convert to fraction form
    728,168/1,514,480 = 1,514,480/x
  3. Step 3: Cross multiply
    728,168x = 1,514,480 × 1,514,480
  4. Step 4: Simplify right side
    728,168x = 2,293,649,670,400
  5. Step 5: Solve for x
    x = 2,293,649,670,400/728,168
  6. Step 6: Final answer
    x = 3,149,890.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.