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Finding the Third Proportional to 479,446 and 1,033,615

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Solution

The third proportional to 479,446 and 1,033,615 is: 2,228,321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,446 : 1,033,615 = 1,033,615 : x
  2. Step 2: Convert to fraction form
    479,446/1,033,615 = 1,033,615/x
  3. Step 3: Cross multiply
    479,446x = 1,033,615 × 1,033,615
  4. Step 4: Simplify right side
    479,446x = 1,068,359,968,225
  5. Step 5: Solve for x
    x = 1,068,359,968,225/479,446
  6. Step 6: Final answer
    x = 2,228,321.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.