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Finding the Third Proportional to 812,208 and 1,786,416

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Solution

The third proportional to 812,208 and 1,786,416 is: 3,929,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,208 : 1,786,416 = 1,786,416 : x
  2. Step 2: Convert to fraction form
    812,208/1,786,416 = 1,786,416/x
  3. Step 3: Cross multiply
    812,208x = 1,786,416 × 1,786,416
  4. Step 4: Simplify right side
    812,208x = 3,191,282,125,056
  5. Step 5: Solve for x
    x = 3,191,282,125,056/812,208
  6. Step 6: Final answer
    x = 3,929,143.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.