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Finding the Third Proportional to 583,129 and 1,212,811

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Solution

The third proportional to 583,129 and 1,212,811 is: 2,522,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,129 : 1,212,811 = 1,212,811 : x
  2. Step 2: Convert to fraction form
    583,129/1,212,811 = 1,212,811/x
  3. Step 3: Cross multiply
    583,129x = 1,212,811 × 1,212,811
  4. Step 4: Simplify right side
    583,129x = 1,470,910,521,721
  5. Step 5: Solve for x
    x = 1,470,910,521,721/583,129
  6. Step 6: Final answer
    x = 2,522,444.47

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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.