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Finding the Third Proportional to 702,608.25 and 1,511,781.75

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Solution

The third proportional to 702,608.25 and 1,511,781.75 is: 3,252,856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,608.25 : 1,511,781.75 = 1,511,781.75 : x
  2. Step 2: Convert to fraction form
    702,608.25/1,511,781.75 = 1,511,781.75/x
  3. Step 3: Cross multiply
    702,608.25x = 1,511,781.75 × 1,511,781.75
  4. Step 4: Simplify right side
    702,608.25x = 2,285,484,059,633.06
  5. Step 5: Solve for x
    x = 2,285,484,059,633.06/702,608.25
  6. Step 6: Final answer
    x = 3,252,856.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.