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Finding the Third Proportional to 2,229,384.75 and 3,416,037

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Solution

The third proportional to 2,229,384.75 and 3,416,037 is: 5,234,318.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229,384.75 : 3,416,037 = 3,416,037 : x
  2. Step 2: Convert to fraction form
    2,229,384.75/3,416,037 = 3,416,037/x
  3. Step 3: Cross multiply
    2,229,384.75x = 3,416,037 × 3,416,037
  4. Step 4: Simplify right side
    2,229,384.75x = 11,669,308,785,369
  5. Step 5: Solve for x
    x = 11,669,308,785,369/2,229,384.75
  6. Step 6: Final answer
    x = 5,234,318.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.