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Finding the Third Proportional to 617,004 and 932,067

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Solution

The third proportional to 617,004 and 932,067 is: 1,408,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,004 : 932,067 = 932,067 : x
  2. Step 2: Convert to fraction form
    617,004/932,067 = 932,067/x
  3. Step 3: Cross multiply
    617,004x = 932,067 × 932,067
  4. Step 4: Simplify right side
    617,004x = 868,748,892,489
  5. Step 5: Solve for x
    x = 868,748,892,489/617,004
  6. Step 6: Final answer
    x = 1,408,011.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.