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Finding the Third Proportional to 381,595,774 and 823,622,732

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Solution

The third proportional to 381,595,774 and 823,622,732 is: 1,777,677,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,595,774 : 823,622,732 = 823,622,732 : x
  2. Step 2: Convert to fraction form
    381,595,774/823,622,732 = 823,622,732/x
  3. Step 3: Cross multiply
    381,595,774x = 823,622,732 × 823,622,732
  4. Step 4: Simplify right side
    381,595,774x = 678,354,404,667,143,808
  5. Step 5: Solve for x
    x = 678,354,404,667,143,808/381,595,774
  6. Step 6: Final answer
    x = 1,777,677,979.91

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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.