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Finding the Third Proportional to 552,406 and 836,082

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Solution

The third proportional to 552,406 and 836,082 is: 1,265,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,406 : 836,082 = 836,082 : x
  2. Step 2: Convert to fraction form
    552,406/836,082 = 836,082/x
  3. Step 3: Cross multiply
    552,406x = 836,082 × 836,082
  4. Step 4: Simplify right side
    552,406x = 699,033,110,724
  5. Step 5: Solve for x
    x = 699,033,110,724/552,406
  6. Step 6: Final answer
    x = 1,265,433.60

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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.