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Finding the Third Proportional to 543,323 and 1,179,992

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Solution

The third proportional to 543,323 and 1,179,992 is: 2,562,713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,323 : 1,179,992 = 1,179,992 : x
  2. Step 2: Convert to fraction form
    543,323/1,179,992 = 1,179,992/x
  3. Step 3: Cross multiply
    543,323x = 1,179,992 × 1,179,992
  4. Step 4: Simplify right side
    543,323x = 1,392,381,120,064
  5. Step 5: Solve for x
    x = 1,392,381,120,064/543,323
  6. Step 6: Final answer
    x = 2,562,713.38

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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.