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Finding the Third Proportional to 1,831,296 and 2,801,376

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Solution

The third proportional to 1,831,296 and 2,801,376 is: 4,285,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,296 : 2,801,376 = 2,801,376 : x
  2. Step 2: Convert to fraction form
    1,831,296/2,801,376 = 2,801,376/x
  3. Step 3: Cross multiply
    1,831,296x = 2,801,376 × 2,801,376
  4. Step 4: Simplify right side
    1,831,296x = 7,847,707,493,376
  5. Step 5: Solve for x
    x = 7,847,707,493,376/1,831,296
  6. Step 6: Final answer
    x = 4,285,329.89

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.