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Finding the Third Proportional to 1,166,529 and 2,426,174

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Solution

The third proportional to 1,166,529 and 2,426,174 is: 5,046,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,529 : 2,426,174 = 2,426,174 : x
  2. Step 2: Convert to fraction form
    1,166,529/2,426,174 = 2,426,174/x
  3. Step 3: Cross multiply
    1,166,529x = 2,426,174 × 2,426,174
  4. Step 4: Simplify right side
    1,166,529x = 5,886,320,278,276
  5. Step 5: Solve for x
    x = 5,886,320,278,276/1,166,529
  6. Step 6: Final answer
    x = 5,046,012.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.