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Finding the Third Proportional to 2,015,013 and 4,257,453

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Solution

The third proportional to 2,015,013 and 4,257,453 is: 8,995,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015,013 : 4,257,453 = 4,257,453 : x
  2. Step 2: Convert to fraction form
    2,015,013/4,257,453 = 4,257,453/x
  3. Step 3: Cross multiply
    2,015,013x = 4,257,453 × 4,257,453
  4. Step 4: Simplify right side
    2,015,013x = 18,125,906,047,209
  5. Step 5: Solve for x
    x = 18,125,906,047,209/2,015,013
  6. Step 6: Final answer
    x = 8,995,428.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.