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Finding the Third Proportional to 639,000.77 and 1,367,765.37

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Solution

The third proportional to 639,000.77 and 1,367,765.37 is: 2,927,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,000.77 : 1,367,765.37 = 1,367,765.37 : x
  2. Step 2: Convert to fraction form
    639,000.77/1,367,765.37 = 1,367,765.37/x
  3. Step 3: Cross multiply
    639,000.77x = 1,367,765.37 × 1,367,765.37
  4. Step 4: Simplify right side
    639,000.77x = 1,870,782,099,677.56
  5. Step 5: Solve for x
    x = 1,870,782,099,677.56/639,000.77
  6. Step 6: Final answer
    x = 2,927,667.97

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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.