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Finding the Third Proportional to 396,069 and 934,056

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Solution

The third proportional to 396,069 and 934,056 is: 2,202,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,069 : 934,056 = 934,056 : x
  2. Step 2: Convert to fraction form
    396,069/934,056 = 934,056/x
  3. Step 3: Cross multiply
    396,069x = 934,056 × 934,056
  4. Step 4: Simplify right side
    396,069x = 872,460,611,136
  5. Step 5: Solve for x
    x = 872,460,611,136/396,069
  6. Step 6: Final answer
    x = 2,202,799.54

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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.