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Finding the Third Proportional to 725,205 and 1,536,853

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Solution

The third proportional to 725,205 and 1,536,853 is: 3,256,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,205 : 1,536,853 = 1,536,853 : x
  2. Step 2: Convert to fraction form
    725,205/1,536,853 = 1,536,853/x
  3. Step 3: Cross multiply
    725,205x = 1,536,853 × 1,536,853
  4. Step 4: Simplify right side
    725,205x = 2,361,917,143,609
  5. Step 5: Solve for x
    x = 2,361,917,143,609/725,205
  6. Step 6: Final answer
    x = 3,256,895.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.