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Finding the Third Proportional to 307,988,256 and 684,837,834

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Solution

The third proportional to 307,988,256 and 684,837,834 is: 1,522,794,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,988,256 : 684,837,834 = 684,837,834 : x
  2. Step 2: Convert to fraction form
    307,988,256/684,837,834 = 684,837,834/x
  3. Step 3: Cross multiply
    307,988,256x = 684,837,834 × 684,837,834
  4. Step 4: Simplify right side
    307,988,256x = 469,002,858,877,811,584
  5. Step 5: Solve for x
    x = 469,002,858,877,811,584/307,988,256
  6. Step 6: Final answer
    x = 1,522,794,618.76

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.