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Finding the Third Proportional to 534,474 and 1,113,174

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Solution

The third proportional to 534,474 and 1,113,174 is: 2,318,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,474 : 1,113,174 = 1,113,174 : x
  2. Step 2: Convert to fraction form
    534,474/1,113,174 = 1,113,174/x
  3. Step 3: Cross multiply
    534,474x = 1,113,174 × 1,113,174
  4. Step 4: Simplify right side
    534,474x = 1,239,156,354,276
  5. Step 5: Solve for x
    x = 1,239,156,354,276/534,474
  6. Step 6: Final answer
    x = 2,318,459.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.