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Finding the Third Proportional to 543,424 and 1,191,824

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Solution

The third proportional to 543,424 and 1,191,824 is: 2,613,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,424 : 1,191,824 = 1,191,824 : x
  2. Step 2: Convert to fraction form
    543,424/1,191,824 = 1,191,824/x
  3. Step 3: Cross multiply
    543,424x = 1,191,824 × 1,191,824
  4. Step 4: Simplify right side
    543,424x = 1,420,444,446,976
  5. Step 5: Solve for x
    x = 1,420,444,446,976/543,424
  6. Step 6: Final answer
    x = 2,613,878.75

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