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Finding the Third Proportional to 468,641.25 and 970,512.75

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Solution

The third proportional to 468,641.25 and 970,512.75 is: 2,009,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,641.25 : 970,512.75 = 970,512.75 : x
  2. Step 2: Convert to fraction form
    468,641.25/970,512.75 = 970,512.75/x
  3. Step 3: Cross multiply
    468,641.25x = 970,512.75 × 970,512.75
  4. Step 4: Simplify right side
    468,641.25x = 941,894,997,912.56
  5. Step 5: Solve for x
    x = 941,894,997,912.56/468,641.25
  6. Step 6: Final answer
    x = 2,009,842.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.