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Finding the Third Proportional to 565,589 and 1,229,350

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Solution

The third proportional to 565,589 and 1,229,350 is: 2,672,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,589 : 1,229,350 = 1,229,350 : x
  2. Step 2: Convert to fraction form
    565,589/1,229,350 = 1,229,350/x
  3. Step 3: Cross multiply
    565,589x = 1,229,350 × 1,229,350
  4. Step 4: Simplify right side
    565,589x = 1,511,301,422,500
  5. Step 5: Solve for x
    x = 1,511,301,422,500/565,589
  6. Step 6: Final answer
    x = 2,672,084.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.