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Finding the Third Proportional to 523,696 and 1,149,344

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Solution

The third proportional to 523,696 and 1,149,344 is: 2,522,439.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,696 : 1,149,344 = 1,149,344 : x
  2. Step 2: Convert to fraction form
    523,696/1,149,344 = 1,149,344/x
  3. Step 3: Cross multiply
    523,696x = 1,149,344 × 1,149,344
  4. Step 4: Simplify right side
    523,696x = 1,320,991,630,336
  5. Step 5: Solve for x
    x = 1,320,991,630,336/523,696
  6. Step 6: Final answer
    x = 2,522,439.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.