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Finding the Third Proportional to 666,285 and 1,465,401

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Solution

The third proportional to 666,285 and 1,465,401 is: 3,222,945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,285 : 1,465,401 = 1,465,401 : x
  2. Step 2: Convert to fraction form
    666,285/1,465,401 = 1,465,401/x
  3. Step 3: Cross multiply
    666,285x = 1,465,401 × 1,465,401
  4. Step 4: Simplify right side
    666,285x = 2,147,400,090,801
  5. Step 5: Solve for x
    x = 2,147,400,090,801/666,285
  6. Step 6: Final answer
    x = 3,222,945.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.