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Finding the Third Proportional to 474,069 and 1,033,350

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Solution

The third proportional to 474,069 and 1,033,350 is: 2,252,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,069 : 1,033,350 = 1,033,350 : x
  2. Step 2: Convert to fraction form
    474,069/1,033,350 = 1,033,350/x
  3. Step 3: Cross multiply
    474,069x = 1,033,350 × 1,033,350
  4. Step 4: Simplify right side
    474,069x = 1,067,812,222,500
  5. Step 5: Solve for x
    x = 1,067,812,222,500/474,069
  6. Step 6: Final answer
    x = 2,252,440.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.