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Finding the Third Proportional to 583,228 and 1,212,990

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Solution

The third proportional to 583,228 and 1,212,990 is: 2,522,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,228 : 1,212,990 = 1,212,990 : x
  2. Step 2: Convert to fraction form
    583,228/1,212,990 = 1,212,990/x
  3. Step 3: Cross multiply
    583,228x = 1,212,990 × 1,212,990
  4. Step 4: Simplify right side
    583,228x = 1,471,344,740,100
  5. Step 5: Solve for x
    x = 1,471,344,740,100/583,228
  6. Step 6: Final answer
    x = 2,522,760.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.