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Finding the Third Proportional to 583,954 and 1,255,198

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Solution

The third proportional to 583,954 and 1,255,198 is: 2,698,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,954 : 1,255,198 = 1,255,198 : x
  2. Step 2: Convert to fraction form
    583,954/1,255,198 = 1,255,198/x
  3. Step 3: Cross multiply
    583,954x = 1,255,198 × 1,255,198
  4. Step 4: Simplify right side
    583,954x = 1,575,522,019,204
  5. Step 5: Solve for x
    x = 1,575,522,019,204/583,954
  6. Step 6: Final answer
    x = 2,698,024.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.