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Finding the Third Proportional to 422,710,872 and 857,307,414

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Solution

The third proportional to 422,710,872 and 857,307,414 is: 1,738,720,366.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,710,872 : 857,307,414 = 857,307,414 : x
  2. Step 2: Convert to fraction form
    422,710,872/857,307,414 = 857,307,414/x
  3. Step 3: Cross multiply
    422,710,872x = 857,307,414 × 857,307,414
  4. Step 4: Simplify right side
    422,710,872x = 734,976,002,099,367,424
  5. Step 5: Solve for x
    x = 734,976,002,099,367,424/422,710,872
  6. Step 6: Final answer
    x = 1,738,720,366.06

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.