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Finding the Third Proportional to 543,856 and 1,166,443

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Solution

The third proportional to 543,856 and 1,166,443 is: 2,501,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,856 : 1,166,443 = 1,166,443 : x
  2. Step 2: Convert to fraction form
    543,856/1,166,443 = 1,166,443/x
  3. Step 3: Cross multiply
    543,856x = 1,166,443 × 1,166,443
  4. Step 4: Simplify right side
    543,856x = 1,360,589,272,249
  5. Step 5: Solve for x
    x = 1,360,589,272,249/543,856
  6. Step 6: Final answer
    x = 2,501,745.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.