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Finding the Third Proportional to 396,047 and 934,630

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Solution

The third proportional to 396,047 and 934,630 is: 2,205,630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,047 : 934,630 = 934,630 : x
  2. Step 2: Convert to fraction form
    396,047/934,630 = 934,630/x
  3. Step 3: Cross multiply
    396,047x = 934,630 × 934,630
  4. Step 4: Simplify right side
    396,047x = 873,533,236,900
  5. Step 5: Solve for x
    x = 873,533,236,900/396,047
  6. Step 6: Final answer
    x = 2,205,630.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.