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Finding the Third Proportional to 969,863.20 and 2,107,609.03

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Solution

The third proportional to 969,863.20 and 2,107,609.03 is: 4,580,043.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,863.20 : 2,107,609.03 = 2,107,609.03 : x
  2. Step 2: Convert to fraction form
    969,863.20/2,107,609.03 = 2,107,609.03/x
  3. Step 3: Cross multiply
    969,863.20x = 2,107,609.03 × 2,107,609.03
  4. Step 4: Simplify right side
    969,863.20x = 4,442,015,828,606.56
  5. Step 5: Solve for x
    x = 4,442,015,828,606.56/969,863.20
  6. Step 6: Final answer
    x = 4,580,043.67

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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.