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Finding the Third Proportional to 2,107,041 and 4,624,203

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Solution

The third proportional to 2,107,041 and 4,624,203 is: 10,148,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107,041 : 4,624,203 = 4,624,203 : x
  2. Step 2: Convert to fraction form
    2,107,041/4,624,203 = 4,624,203/x
  3. Step 3: Cross multiply
    2,107,041x = 4,624,203 × 4,624,203
  4. Step 4: Simplify right side
    2,107,041x = 21,383,253,385,209
  5. Step 5: Solve for x
    x = 21,383,253,385,209/2,107,041
  6. Step 6: Final answer
    x = 10,148,475.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.