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Finding the Third Proportional to 523,832 and 1,116,350

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Solution

The third proportional to 523,832 and 1,116,350 is: 2,379,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,832 : 1,116,350 = 1,116,350 : x
  2. Step 2: Convert to fraction form
    523,832/1,116,350 = 1,116,350/x
  3. Step 3: Cross multiply
    523,832x = 1,116,350 × 1,116,350
  4. Step 4: Simplify right side
    523,832x = 1,246,237,322,500
  5. Step 5: Solve for x
    x = 1,246,237,322,500/523,832
  6. Step 6: Final answer
    x = 2,379,078.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.