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Finding the Third Proportional to 409,890,019 and 892,557,768

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Solution

The third proportional to 409,890,019 and 892,557,768 is: 1,943,592,993.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,890,019 : 892,557,768 = 892,557,768 : x
  2. Step 2: Convert to fraction form
    409,890,019/892,557,768 = 892,557,768/x
  3. Step 3: Cross multiply
    409,890,019x = 892,557,768 × 892,557,768
  4. Step 4: Simplify right side
    409,890,019x = 796,659,369,217,141,760
  5. Step 5: Solve for x
    x = 796,659,369,217,141,760/409,890,019
  6. Step 6: Final answer
    x = 1,943,592,993.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.