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Finding the Third Proportional to 828,940,677 and 1,797,744,756

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Solution

The third proportional to 828,940,677 and 1,797,744,756 is: 3,898,814,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,940,677 : 1,797,744,756 = 1,797,744,756 : x
  2. Step 2: Convert to fraction form
    828,940,677/1,797,744,756 = 1,797,744,756/x
  3. Step 3: Cross multiply
    828,940,677x = 1,797,744,756 × 1,797,744,756
  4. Step 4: Simplify right side
    828,940,677x = 3,231,886,207,725,499,392
  5. Step 5: Solve for x
    x = 3,231,886,207,725,499,392/828,940,677
  6. Step 6: Final answer
    x = 3,898,814,833.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.