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Finding the Third Proportional to 540,443 and 1,173,189

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Solution

The third proportional to 540,443 and 1,173,189 is: 2,546,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,443 : 1,173,189 = 1,173,189 : x
  2. Step 2: Convert to fraction form
    540,443/1,173,189 = 1,173,189/x
  3. Step 3: Cross multiply
    540,443x = 1,173,189 × 1,173,189
  4. Step 4: Simplify right side
    540,443x = 1,376,372,429,721
  5. Step 5: Solve for x
    x = 1,376,372,429,721/540,443
  6. Step 6: Final answer
    x = 2,546,748.56

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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.