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Finding the Third Proportional to 685,904 and 1,504,612

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Solution

The third proportional to 685,904 and 1,504,612 is: 3,300,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,904 : 1,504,612 = 1,504,612 : x
  2. Step 2: Convert to fraction form
    685,904/1,504,612 = 1,504,612/x
  3. Step 3: Cross multiply
    685,904x = 1,504,612 × 1,504,612
  4. Step 4: Simplify right side
    685,904x = 2,263,857,270,544
  5. Step 5: Solve for x
    x = 2,263,857,270,544/685,904
  6. Step 6: Final answer
    x = 3,300,545.37

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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.