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Finding the Third Proportional to 969,099.19 and 1,444,194.56

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Solution

The third proportional to 969,099.19 and 1,444,194.56 is: 2,152,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,099.19 : 1,444,194.56 = 1,444,194.56 : x
  2. Step 2: Convert to fraction form
    969,099.19/1,444,194.56 = 1,444,194.56/x
  3. Step 3: Cross multiply
    969,099.19x = 1,444,194.56 × 1,444,194.56
  4. Step 4: Simplify right side
    969,099.19x = 2,085,697,934,354.57
  5. Step 5: Solve for x
    x = 2,085,697,934,354.57/969,099.19
  6. Step 6: Final answer
    x = 2,152,202.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.