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Finding the Third Proportional to 463,626 and 977,067

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Solution

The third proportional to 463,626 and 977,067 is: 2,059,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,626 : 977,067 = 977,067 : x
  2. Step 2: Convert to fraction form
    463,626/977,067 = 977,067/x
  3. Step 3: Cross multiply
    463,626x = 977,067 × 977,067
  4. Step 4: Simplify right side
    463,626x = 954,659,922,489
  5. Step 5: Solve for x
    x = 954,659,922,489/463,626
  6. Step 6: Final answer
    x = 2,059,116.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.