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Finding the Third Proportional to 751,848 and 1,652,568

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Solution

The third proportional to 751,848 and 1,652,568 is: 3,632,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,848 : 1,652,568 = 1,652,568 : x
  2. Step 2: Convert to fraction form
    751,848/1,652,568 = 1,652,568/x
  3. Step 3: Cross multiply
    751,848x = 1,652,568 × 1,652,568
  4. Step 4: Simplify right side
    751,848x = 2,730,980,994,624
  5. Step 5: Solve for x
    x = 2,730,980,994,624/751,848
  6. Step 6: Final answer
    x = 3,632,357.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.