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Finding the Third Proportional to 540,069 and 1,181,847

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Solution

The third proportional to 540,069 and 1,181,847 is: 2,586,266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,069 : 1,181,847 = 1,181,847 : x
  2. Step 2: Convert to fraction form
    540,069/1,181,847 = 1,181,847/x
  3. Step 3: Cross multiply
    540,069x = 1,181,847 × 1,181,847
  4. Step 4: Simplify right side
    540,069x = 1,396,762,331,409
  5. Step 5: Solve for x
    x = 1,396,762,331,409/540,069
  6. Step 6: Final answer
    x = 2,586,266.44

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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.