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Finding the Third Proportional to 429,887.25 and 934,419.38

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Solution

The third proportional to 429,887.25 and 934,419.38 is: 2,031,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,887.25 : 934,419.38 = 934,419.38 : x
  2. Step 2: Convert to fraction form
    429,887.25/934,419.38 = 934,419.38/x
  3. Step 3: Cross multiply
    429,887.25x = 934,419.38 × 934,419.38
  4. Step 4: Simplify right side
    429,887.25x = 873,139,568,375.39
  5. Step 5: Solve for x
    x = 873,139,568,375.39/429,887.25
  6. Step 6: Final answer
    x = 2,031,089.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.