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Finding the Third Proportional to 1,166,109 and 1,798,977

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Solution

The third proportional to 1,166,109 and 1,798,977 is: 2,775,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,109 : 1,798,977 = 1,798,977 : x
  2. Step 2: Convert to fraction form
    1,166,109/1,798,977 = 1,798,977/x
  3. Step 3: Cross multiply
    1,166,109x = 1,798,977 × 1,798,977
  4. Step 4: Simplify right side
    1,166,109x = 3,236,318,246,529
  5. Step 5: Solve for x
    x = 3,236,318,246,529/1,166,109
  6. Step 6: Final answer
    x = 2,775,313.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.