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Finding the Third Proportional to 773,968.08 and 1,641,584.39

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Solution

The third proportional to 773,968.08 and 1,641,584.39 is: 3,481,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,968.08 : 1,641,584.39 = 1,641,584.39 : x
  2. Step 2: Convert to fraction form
    773,968.08/1,641,584.39 = 1,641,584.39/x
  3. Step 3: Cross multiply
    773,968.08x = 1,641,584.39 × 1,641,584.39
  4. Step 4: Simplify right side
    773,968.08x = 2,694,799,311,543.65
  5. Step 5: Solve for x
    x = 2,694,799,311,543.65/773,968.08
  6. Step 6: Final answer
    x = 3,481,796.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.