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Finding the Third Proportional to 284,215,793 and 622,006,406

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Solution

The third proportional to 284,215,793 and 622,006,406 is: 1,361,261,332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,215,793 : 622,006,406 = 622,006,406 : x
  2. Step 2: Convert to fraction form
    284,215,793/622,006,406 = 622,006,406/x
  3. Step 3: Cross multiply
    284,215,793x = 622,006,406 × 622,006,406
  4. Step 4: Simplify right side
    284,215,793x = 386,891,969,105,036,864
  5. Step 5: Solve for x
    x = 386,891,969,105,036,864/284,215,793
  6. Step 6: Final answer
    x = 1,361,261,332.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.