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Finding the Third Proportional to 526,812 and 836,874

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Solution

The third proportional to 526,812 and 836,874 is: 1,329,426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,812 : 836,874 = 836,874 : x
  2. Step 2: Convert to fraction form
    526,812/836,874 = 836,874/x
  3. Step 3: Cross multiply
    526,812x = 836,874 × 836,874
  4. Step 4: Simplify right side
    526,812x = 700,358,091,876
  5. Step 5: Solve for x
    x = 700,358,091,876/526,812
  6. Step 6: Final answer
    x = 1,329,426.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.