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Finding the Third Proportional to 666,771 and 1,437,777

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Solution

The third proportional to 666,771 and 1,437,777 is: 3,100,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,771 : 1,437,777 = 1,437,777 : x
  2. Step 2: Convert to fraction form
    666,771/1,437,777 = 1,437,777/x
  3. Step 3: Cross multiply
    666,771x = 1,437,777 × 1,437,777
  4. Step 4: Simplify right side
    666,771x = 2,067,202,701,729
  5. Step 5: Solve for x
    x = 2,067,202,701,729/666,771
  6. Step 6: Final answer
    x = 3,100,318.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.