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Finding the Third Proportional to 583,512 and 1,351,662

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Solution

The third proportional to 583,512 and 1,351,662 is: 3,131,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,512 : 1,351,662 = 1,351,662 : x
  2. Step 2: Convert to fraction form
    583,512/1,351,662 = 1,351,662/x
  3. Step 3: Cross multiply
    583,512x = 1,351,662 × 1,351,662
  4. Step 4: Simplify right side
    583,512x = 1,826,990,162,244
  5. Step 5: Solve for x
    x = 1,826,990,162,244/583,512
  6. Step 6: Final answer
    x = 3,131,024.15

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.