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Finding the Third Proportional to 610,086 and 927,568

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Solution

The third proportional to 610,086 and 927,568 is: 1,410,264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,086 : 927,568 = 927,568 : x
  2. Step 2: Convert to fraction form
    610,086/927,568 = 927,568/x
  3. Step 3: Cross multiply
    610,086x = 927,568 × 927,568
  4. Step 4: Simplify right side
    610,086x = 860,382,394,624
  5. Step 5: Solve for x
    x = 860,382,394,624/610,086
  6. Step 6: Final answer
    x = 1,410,264.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.