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Finding the Third Proportional to 534,150 and 831,861

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Solution

The third proportional to 534,150 and 831,861 is: 1,295,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,150 : 831,861 = 831,861 : x
  2. Step 2: Convert to fraction form
    534,150/831,861 = 831,861/x
  3. Step 3: Cross multiply
    534,150x = 831,861 × 831,861
  4. Step 4: Simplify right side
    534,150x = 691,992,723,321
  5. Step 5: Solve for x
    x = 691,992,723,321/534,150
  6. Step 6: Final answer
    x = 1,295,502.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.