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Finding the Third Proportional to 534,848 and 1,189,281

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Solution

The third proportional to 534,848 and 1,189,281 is: 2,644,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,848 : 1,189,281 = 1,189,281 : x
  2. Step 2: Convert to fraction form
    534,848/1,189,281 = 1,189,281/x
  3. Step 3: Cross multiply
    534,848x = 1,189,281 × 1,189,281
  4. Step 4: Simplify right side
    534,848x = 1,414,389,296,961
  5. Step 5: Solve for x
    x = 1,414,389,296,961/534,848
  6. Step 6: Final answer
    x = 2,644,469.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.