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Finding the Third Proportional to 600,185 and 906,704

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Solution

The third proportional to 600,185 and 906,704 is: 1,369,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,185 : 906,704 = 906,704 : x
  2. Step 2: Convert to fraction form
    600,185/906,704 = 906,704/x
  3. Step 3: Cross multiply
    600,185x = 906,704 × 906,704
  4. Step 4: Simplify right side
    600,185x = 822,112,143,616
  5. Step 5: Solve for x
    x = 822,112,143,616/600,185
  6. Step 6: Final answer
    x = 1,369,764.56

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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.