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Finding the Third Proportional to 607,197 and 965,067

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Solution

The third proportional to 607,197 and 965,067 is: 1,533,858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,197 : 965,067 = 965,067 : x
  2. Step 2: Convert to fraction form
    607,197/965,067 = 965,067/x
  3. Step 3: Cross multiply
    607,197x = 965,067 × 965,067
  4. Step 4: Simplify right side
    607,197x = 931,354,314,489
  5. Step 5: Solve for x
    x = 931,354,314,489/607,197
  6. Step 6: Final answer
    x = 1,533,858.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.