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Finding the Third Proportional to 552,193 and 810,113

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Solution

The third proportional to 552,193 and 810,113 is: 1,188,503.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,193 : 810,113 = 810,113 : x
  2. Step 2: Convert to fraction form
    552,193/810,113 = 810,113/x
  3. Step 3: Cross multiply
    552,193x = 810,113 × 810,113
  4. Step 4: Simplify right side
    552,193x = 656,283,072,769
  5. Step 5: Solve for x
    x = 656,283,072,769/552,193
  6. Step 6: Final answer
    x = 1,188,503.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.