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Finding the Third Proportional to 772,363.50 and 1,682,035

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Solution

The third proportional to 772,363.50 and 1,682,035 is: 3,663,096.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,363.50 : 1,682,035 = 1,682,035 : x
  2. Step 2: Convert to fraction form
    772,363.50/1,682,035 = 1,682,035/x
  3. Step 3: Cross multiply
    772,363.50x = 1,682,035 × 1,682,035
  4. Step 4: Simplify right side
    772,363.50x = 2,829,241,741,225
  5. Step 5: Solve for x
    x = 2,829,241,741,225/772,363.50
  6. Step 6: Final answer
    x = 3,663,096.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.