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Finding the Third Proportional to 969,873.75 and 2,107,625.06

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Solution

The third proportional to 969,873.75 and 2,107,625.06 is: 4,580,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,873.75 : 2,107,625.06 = 2,107,625.06 : x
  2. Step 2: Convert to fraction form
    969,873.75/2,107,625.06 = 2,107,625.06/x
  3. Step 3: Cross multiply
    969,873.75x = 2,107,625.06 × 2,107,625.06
  4. Step 4: Simplify right side
    969,873.75x = 4,442,083,404,078.13
  5. Step 5: Solve for x
    x = 4,442,083,404,078.13/969,873.75
  6. Step 6: Final answer
    x = 4,580,063.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.