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Finding the Third Proportional to 409,890,013 and 892,557,756

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Solution

The third proportional to 409,890,013 and 892,557,756 is: 1,943,592,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,890,013 : 892,557,756 = 892,557,756 : x
  2. Step 2: Convert to fraction form
    409,890,013/892,557,756 = 892,557,756/x
  3. Step 3: Cross multiply
    409,890,013x = 892,557,756 × 892,557,756
  4. Step 4: Simplify right side
    409,890,013x = 796,659,347,795,755,520
  5. Step 5: Solve for x
    x = 796,659,347,795,755,520/409,890,013
  6. Step 6: Final answer
    x = 1,943,592,970.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.