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Finding the Third Proportional to 702,608.34 and 1,511,782.31

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Solution

The third proportional to 702,608.34 and 1,511,782.31 is: 3,252,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,608.34 : 1,511,782.31 = 1,511,782.31 : x
  2. Step 2: Convert to fraction form
    702,608.34/1,511,782.31 = 1,511,782.31/x
  3. Step 3: Cross multiply
    702,608.34x = 1,511,782.31 × 1,511,782.31
  4. Step 4: Simplify right side
    702,608.34x = 2,285,485,760,387.85
  5. Step 5: Solve for x
    x = 2,285,485,760,387.85/702,608.34
  6. Step 6: Final answer
    x = 3,252,858.84

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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.