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Finding the Third Proportional to 659,077 and 1,027,149

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Solution

The third proportional to 659,077 and 1,027,149 is: 1,600,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,077 : 1,027,149 = 1,027,149 : x
  2. Step 2: Convert to fraction form
    659,077/1,027,149 = 1,027,149/x
  3. Step 3: Cross multiply
    659,077x = 1,027,149 × 1,027,149
  4. Step 4: Simplify right side
    659,077x = 1,055,035,068,201
  5. Step 5: Solve for x
    x = 1,055,035,068,201/659,077
  6. Step 6: Final answer
    x = 1,600,776.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.