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Finding the Third Proportional to 812,210 and 1,786,420

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Solution

The third proportional to 812,210 and 1,786,420 is: 3,929,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,210 : 1,786,420 = 1,786,420 : x
  2. Step 2: Convert to fraction form
    812,210/1,786,420 = 1,786,420/x
  3. Step 3: Cross multiply
    812,210x = 1,786,420 × 1,786,420
  4. Step 4: Simplify right side
    812,210x = 3,191,296,416,400
  5. Step 5: Solve for x
    x = 3,191,296,416,400/812,210
  6. Step 6: Final answer
    x = 3,929,151.84

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