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Finding the Third Proportional to 854,631 and 1,823,671.97

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Solution

The third proportional to 854,631 and 1,823,671.97 is: 3,891,480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,631 : 1,823,671.97 = 1,823,671.97 : x
  2. Step 2: Convert to fraction form
    854,631/1,823,671.97 = 1,823,671.97/x
  3. Step 3: Cross multiply
    854,631x = 1,823,671.97 × 1,823,671.97
  4. Step 4: Simplify right side
    854,631x = 3,325,779,449,604.50
  5. Step 5: Solve for x
    x = 3,325,779,449,604.50/854,631
  6. Step 6: Final answer
    x = 3,891,480.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.