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Finding the Third Proportional to 952,589.25 and 2,054,742.75

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Solution

The third proportional to 952,589.25 and 2,054,742.75 is: 4,432,096.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,589.25 : 2,054,742.75 = 2,054,742.75 : x
  2. Step 2: Convert to fraction form
    952,589.25/2,054,742.75 = 2,054,742.75/x
  3. Step 3: Cross multiply
    952,589.25x = 2,054,742.75 × 2,054,742.75
  4. Step 4: Simplify right side
    952,589.25x = 4,221,967,768,677.56
  5. Step 5: Solve for x
    x = 4,221,967,768,677.56/952,589.25
  6. Step 6: Final answer
    x = 4,432,096.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.