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Finding the Third Proportional to 725,196 and 1,536,834

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Solution

The third proportional to 725,196 and 1,536,834 is: 3,256,855.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,196 : 1,536,834 = 1,536,834 : x
  2. Step 2: Convert to fraction form
    725,196/1,536,834 = 1,536,834/x
  3. Step 3: Cross multiply
    725,196x = 1,536,834 × 1,536,834
  4. Step 4: Simplify right side
    725,196x = 2,361,858,743,556
  5. Step 5: Solve for x
    x = 2,361,858,743,556/725,196
  6. Step 6: Final answer
    x = 3,256,855.72

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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.