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Finding the Third Proportional to 685,902 and 1,502,568

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Solution

The third proportional to 685,902 and 1,502,568 is: 3,291,593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,902 : 1,502,568 = 1,502,568 : x
  2. Step 2: Convert to fraction form
    685,902/1,502,568 = 1,502,568/x
  3. Step 3: Cross multiply
    685,902x = 1,502,568 × 1,502,568
  4. Step 4: Simplify right side
    685,902x = 2,257,710,594,624
  5. Step 5: Solve for x
    x = 2,257,710,594,624/685,902
  6. Step 6: Final answer
    x = 3,291,593.54

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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.