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Finding the Third Proportional to 552,422 and 836,101

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Solution

The third proportional to 552,422 and 836,101 is: 1,265,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,422 : 836,101 = 836,101 : x
  2. Step 2: Convert to fraction form
    552,422/836,101 = 836,101/x
  3. Step 3: Cross multiply
    552,422x = 836,101 × 836,101
  4. Step 4: Simplify right side
    552,422x = 699,064,882,201
  5. Step 5: Solve for x
    x = 699,064,882,201/552,422
  6. Step 6: Final answer
    x = 1,265,454.46

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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.