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Finding the Third Proportional to 728,100 and 1,514,304

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Solution

The third proportional to 728,100 and 1,514,304 is: 3,149,452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,100 : 1,514,304 = 1,514,304 : x
  2. Step 2: Convert to fraction form
    728,100/1,514,304 = 1,514,304/x
  3. Step 3: Cross multiply
    728,100x = 1,514,304 × 1,514,304
  4. Step 4: Simplify right side
    728,100x = 2,293,116,604,416
  5. Step 5: Solve for x
    x = 2,293,116,604,416/728,100
  6. Step 6: Final answer
    x = 3,149,452.83

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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.