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Finding the Third Proportional to 536,410.69 and 810,082.69

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Solution

The third proportional to 536,410.69 and 810,082.69 is: 1,223,379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,410.69 : 810,082.69 = 810,082.69 : x
  2. Step 2: Convert to fraction form
    536,410.69/810,082.69 = 810,082.69/x
  3. Step 3: Cross multiply
    536,410.69x = 810,082.69 × 810,082.69
  4. Step 4: Simplify right side
    536,410.69x = 656,233,960,587.22
  5. Step 5: Solve for x
    x = 656,233,960,587.22/536,410.69
  6. Step 6: Final answer
    x = 1,223,379.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.