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Finding the Third Proportional to 782,383.50 and 1,650,231

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Solution

The third proportional to 782,383.50 and 1,650,231 is: 3,480,725.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,383.50 : 1,650,231 = 1,650,231 : x
  2. Step 2: Convert to fraction form
    782,383.50/1,650,231 = 1,650,231/x
  3. Step 3: Cross multiply
    782,383.50x = 1,650,231 × 1,650,231
  4. Step 4: Simplify right side
    782,383.50x = 2,723,262,353,361
  5. Step 5: Solve for x
    x = 2,723,262,353,361/782,383.50
  6. Step 6: Final answer
    x = 3,480,725.70

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.