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Finding the Third Proportional to 543,425 and 1,191,825

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Solution

The third proportional to 543,425 and 1,191,825 is: 2,613,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,425 : 1,191,825 = 1,191,825 : x
  2. Step 2: Convert to fraction form
    543,425/1,191,825 = 1,191,825/x
  3. Step 3: Cross multiply
    543,425x = 1,191,825 × 1,191,825
  4. Step 4: Simplify right side
    543,425x = 1,420,446,830,625
  5. Step 5: Solve for x
    x = 1,420,446,830,625/543,425
  6. Step 6: Final answer
    x = 2,613,878.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.