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Finding the Third Proportional to 523,997.86 and 1,122,695.44

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Solution

The third proportional to 523,997.86 and 1,122,695.44 is: 2,405,439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,997.86 : 1,122,695.44 = 1,122,695.44 : x
  2. Step 2: Convert to fraction form
    523,997.86/1,122,695.44 = 1,122,695.44/x
  3. Step 3: Cross multiply
    523,997.86x = 1,122,695.44 × 1,122,695.44
  4. Step 4: Simplify right side
    523,997.86x = 1,260,445,045,383.32
  5. Step 5: Solve for x
    x = 1,260,445,045,383.32/523,997.86
  6. Step 6: Final answer
    x = 2,405,439.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.