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Finding the Third Proportional to 690,104 and 1,508,144

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Solution

The third proportional to 690,104 and 1,508,144 is: 3,295,877.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,104 : 1,508,144 = 1,508,144 : x
  2. Step 2: Convert to fraction form
    690,104/1,508,144 = 1,508,144/x
  3. Step 3: Cross multiply
    690,104x = 1,508,144 × 1,508,144
  4. Step 4: Simplify right side
    690,104x = 2,274,498,324,736
  5. Step 5: Solve for x
    x = 2,274,498,324,736/690,104
  6. Step 6: Final answer
    x = 3,295,877.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.