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Finding the Third Proportional to 511,114.25 and 1,115,054.75

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Solution

The third proportional to 511,114.25 and 1,115,054.75 is: 2,432,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,114.25 : 1,115,054.75 = 1,115,054.75 : x
  2. Step 2: Convert to fraction form
    511,114.25/1,115,054.75 = 1,115,054.75/x
  3. Step 3: Cross multiply
    511,114.25x = 1,115,054.75 × 1,115,054.75
  4. Step 4: Simplify right side
    511,114.25x = 1,243,347,095,497.56
  5. Step 5: Solve for x
    x = 1,243,347,095,497.56/511,114.25
  6. Step 6: Final answer
    x = 2,432,620.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.