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Finding the Third Proportional to 564,204.23 and 1,100,150.86

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Solution

The third proportional to 564,204.23 and 1,100,150.86 is: 2,145,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,204.23 : 1,100,150.86 = 1,100,150.86 : x
  2. Step 2: Convert to fraction form
    564,204.23/1,100,150.86 = 1,100,150.86/x
  3. Step 3: Cross multiply
    564,204.23x = 1,100,150.86 × 1,100,150.86
  4. Step 4: Simplify right side
    564,204.23x = 1,210,331,913,383.55
  5. Step 5: Solve for x
    x = 1,210,331,913,383.55/564,204.23
  6. Step 6: Final answer
    x = 2,145,201.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.