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Finding the Third Proportional to 964,371 and 2,100,183

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Solution

The third proportional to 964,371 and 2,100,183 is: 4,573,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,371 : 2,100,183 = 2,100,183 : x
  2. Step 2: Convert to fraction form
    964,371/2,100,183 = 2,100,183/x
  3. Step 3: Cross multiply
    964,371x = 2,100,183 × 2,100,183
  4. Step 4: Simplify right side
    964,371x = 4,410,768,633,489
  5. Step 5: Solve for x
    x = 4,410,768,633,489/964,371
  6. Step 6: Final answer
    x = 4,573,725.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.