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Finding the Third Proportional to 1,785,638.25 and 2,682,531

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Solution

The third proportional to 1,785,638.25 and 2,682,531 is: 4,029,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785,638.25 : 2,682,531 = 2,682,531 : x
  2. Step 2: Convert to fraction form
    1,785,638.25/2,682,531 = 2,682,531/x
  3. Step 3: Cross multiply
    1,785,638.25x = 2,682,531 × 2,682,531
  4. Step 4: Simplify right side
    1,785,638.25x = 7,195,972,565,961
  5. Step 5: Solve for x
    x = 7,195,972,565,961/1,785,638.25
  6. Step 6: Final answer
    x = 4,029,916.23

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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.