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Finding the Third Proportional to 1,914,451.88 and 4,082,322.38

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Solution

The third proportional to 1,914,451.88 and 4,082,322.38 is: 8,705,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914,451.88 : 4,082,322.38 = 4,082,322.38 : x
  2. Step 2: Convert to fraction form
    1,914,451.88/4,082,322.38 = 4,082,322.38/x
  3. Step 3: Cross multiply
    1,914,451.88x = 4,082,322.38 × 4,082,322.38
  4. Step 4: Simplify right side
    1,914,451.88x = 16,665,355,973,425.64
  5. Step 5: Solve for x
    x = 16,665,355,973,425.64/1,914,451.88
  6. Step 6: Final answer
    x = 8,705,027.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.