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Finding the Third Proportional to 610,845 and 932,067

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Solution

The third proportional to 610,845 and 932,067 is: 1,422,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,845 : 932,067 = 932,067 : x
  2. Step 2: Convert to fraction form
    610,845/932,067 = 932,067/x
  3. Step 3: Cross multiply
    610,845x = 932,067 × 932,067
  4. Step 4: Simplify right side
    610,845x = 868,748,892,489
  5. Step 5: Solve for x
    x = 868,748,892,489/610,845
  6. Step 6: Final answer
    x = 1,422,208.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.