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Finding the Third Proportional to 1,785,663 and 2,682,564.75

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Solution

The third proportional to 1,785,663 and 2,682,564.75 is: 4,029,961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785,663 : 2,682,564.75 = 2,682,564.75 : x
  2. Step 2: Convert to fraction form
    1,785,663/2,682,564.75 = 2,682,564.75/x
  3. Step 3: Cross multiply
    1,785,663x = 2,682,564.75 × 2,682,564.75
  4. Step 4: Simplify right side
    1,785,663x = 7,196,153,637,942.56
  5. Step 5: Solve for x
    x = 7,196,153,637,942.56/1,785,663
  6. Step 6: Final answer
    x = 4,029,961.78

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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.