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Finding the Third Proportional to 751,821.75 and 1,652,501.25

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Solution

The third proportional to 751,821.75 and 1,652,501.25 is: 3,632,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,821.75 : 1,652,501.25 = 1,652,501.25 : x
  2. Step 2: Convert to fraction form
    751,821.75/1,652,501.25 = 1,652,501.25/x
  3. Step 3: Cross multiply
    751,821.75x = 1,652,501.25 × 1,652,501.25
  4. Step 4: Simplify right side
    751,821.75x = 2,730,760,381,251.56
  5. Step 5: Solve for x
    x = 2,730,760,381,251.56/751,821.75
  6. Step 6: Final answer
    x = 3,632,191.25

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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.