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Finding the Third Proportional to 552,194 and 810,114

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Solution

The third proportional to 552,194 and 810,114 is: 1,188,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,194 : 810,114 = 810,114 : x
  2. Step 2: Convert to fraction form
    552,194/810,114 = 810,114/x
  3. Step 3: Cross multiply
    552,194x = 810,114 × 810,114
  4. Step 4: Simplify right side
    552,194x = 656,284,692,996
  5. Step 5: Solve for x
    x = 656,284,692,996/552,194
  6. Step 6: Final answer
    x = 1,188,503.85

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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.