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Finding the Third Proportional to 1,261,737 and 1,892,141.44

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Solution

The third proportional to 1,261,737 and 1,892,141.44 is: 2,837,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,737 : 1,892,141.44 = 1,892,141.44 : x
  2. Step 2: Convert to fraction form
    1,261,737/1,892,141.44 = 1,892,141.44/x
  3. Step 3: Cross multiply
    1,261,737x = 1,892,141.44 × 1,892,141.44
  4. Step 4: Simplify right side
    1,261,737x = 3,580,199,219,504.57
  5. Step 5: Solve for x
    x = 3,580,199,219,504.57/1,261,737
  6. Step 6: Final answer
    x = 2,837,516.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.