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Finding the Third Proportional to 396,018 and 924,073

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Solution

The third proportional to 396,018 and 924,073 is: 2,156,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,018 : 924,073 = 924,073 : x
  2. Step 2: Convert to fraction form
    396,018/924,073 = 924,073/x
  3. Step 3: Cross multiply
    396,018x = 924,073 × 924,073
  4. Step 4: Simplify right side
    396,018x = 853,910,909,329
  5. Step 5: Solve for x
    x = 853,910,909,329/396,018
  6. Step 6: Final answer
    x = 2,156,242.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.