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Finding the Third Proportional to 777,018 and 1,200,027

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Solution

The third proportional to 777,018 and 1,200,027 is: 1,853,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,018 : 1,200,027 = 1,200,027 : x
  2. Step 2: Convert to fraction form
    777,018/1,200,027 = 1,200,027/x
  3. Step 3: Cross multiply
    777,018x = 1,200,027 × 1,200,027
  4. Step 4: Simplify right side
    777,018x = 1,440,064,800,729
  5. Step 5: Solve for x
    x = 1,440,064,800,729/777,018
  6. Step 6: Final answer
    x = 1,853,322.32

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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.