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Finding the Third Proportional to 591,864 and 927,462

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Solution

The third proportional to 591,864 and 927,462 is: 1,453,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,864 : 927,462 = 927,462 : x
  2. Step 2: Convert to fraction form
    591,864/927,462 = 927,462/x
  3. Step 3: Cross multiply
    591,864x = 927,462 × 927,462
  4. Step 4: Simplify right side
    591,864x = 860,185,761,444
  5. Step 5: Solve for x
    x = 860,185,761,444/591,864
  6. Step 6: Final answer
    x = 1,453,350.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.