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Finding the Third Proportional to 523,099 and 1,108,979

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Solution

The third proportional to 523,099 and 1,108,979 is: 2,351,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,099 : 1,108,979 = 1,108,979 : x
  2. Step 2: Convert to fraction form
    523,099/1,108,979 = 1,108,979/x
  3. Step 3: Cross multiply
    523,099x = 1,108,979 × 1,108,979
  4. Step 4: Simplify right side
    523,099x = 1,229,834,422,441
  5. Step 5: Solve for x
    x = 1,229,834,422,441/523,099
  6. Step 6: Final answer
    x = 2,351,054.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.