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Finding the Third Proportional to 715,204 and 1,489,196

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Solution

The third proportional to 715,204 and 1,489,196 is: 3,100,800.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,204 : 1,489,196 = 1,489,196 : x
  2. Step 2: Convert to fraction form
    715,204/1,489,196 = 1,489,196/x
  3. Step 3: Cross multiply
    715,204x = 1,489,196 × 1,489,196
  4. Step 4: Simplify right side
    715,204x = 2,217,704,726,416
  5. Step 5: Solve for x
    x = 2,217,704,726,416/715,204
  6. Step 6: Final answer
    x = 3,100,800.23

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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.