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Finding the Third Proportional to 534,708 and 1,188,967

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Solution

The third proportional to 534,708 and 1,188,967 is: 2,643,765.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,708 : 1,188,967 = 1,188,967 : x
  2. Step 2: Convert to fraction form
    534,708/1,188,967 = 1,188,967/x
  3. Step 3: Cross multiply
    534,708x = 1,188,967 × 1,188,967
  4. Step 4: Simplify right side
    534,708x = 1,413,642,527,089
  5. Step 5: Solve for x
    x = 1,413,642,527,089/534,708
  6. Step 6: Final answer
    x = 2,643,765.43

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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.