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Finding the Third Proportional to 784,408.50 and 1,693,233

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Solution

The third proportional to 784,408.50 and 1,693,233 is: 3,655,031.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,408.50 : 1,693,233 = 1,693,233 : x
  2. Step 2: Convert to fraction form
    784,408.50/1,693,233 = 1,693,233/x
  3. Step 3: Cross multiply
    784,408.50x = 1,693,233 × 1,693,233
  4. Step 4: Simplify right side
    784,408.50x = 2,867,037,992,289
  5. Step 5: Solve for x
    x = 2,867,037,992,289/784,408.50
  6. Step 6: Final answer
    x = 3,655,031.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.