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Finding the Third Proportional to 543,847 and 1,196,437

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Solution

The third proportional to 543,847 and 1,196,437 is: 2,632,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,847 : 1,196,437 = 1,196,437 : x
  2. Step 2: Convert to fraction form
    543,847/1,196,437 = 1,196,437/x
  3. Step 3: Cross multiply
    543,847x = 1,196,437 × 1,196,437
  4. Step 4: Simplify right side
    543,847x = 1,431,461,494,969
  5. Step 5: Solve for x
    x = 1,431,461,494,969/543,847
  6. Step 6: Final answer
    x = 2,632,103.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.