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Finding the Third Proportional to 2,114,496 and 3,404,661

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Solution

The third proportional to 2,114,496 and 3,404,661 is: 5,482,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114,496 : 3,404,661 = 3,404,661 : x
  2. Step 2: Convert to fraction form
    2,114,496/3,404,661 = 3,404,661/x
  3. Step 3: Cross multiply
    2,114,496x = 3,404,661 × 3,404,661
  4. Step 4: Simplify right side
    2,114,496x = 11,591,716,524,921
  5. Step 5: Solve for x
    x = 11,591,716,524,921/2,114,496
  6. Step 6: Final answer
    x = 5,482,023.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.