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Finding the Third Proportional to 552,406 and 836,081

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Solution

The third proportional to 552,406 and 836,081 is: 1,265,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,406 : 836,081 = 836,081 : x
  2. Step 2: Convert to fraction form
    552,406/836,081 = 836,081/x
  3. Step 3: Cross multiply
    552,406x = 836,081 × 836,081
  4. Step 4: Simplify right side
    552,406x = 699,031,438,561
  5. Step 5: Solve for x
    x = 699,031,438,561/552,406
  6. Step 6: Final answer
    x = 1,265,430.57

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Why These Related Problems?

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