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Finding the Third Proportional to 2,321,832 and 3,587,823

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Solution

The third proportional to 2,321,832 and 3,587,823 is: 5,544,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321,832 : 3,587,823 = 3,587,823 : x
  2. Step 2: Convert to fraction form
    2,321,832/3,587,823 = 3,587,823/x
  3. Step 3: Cross multiply
    2,321,832x = 3,587,823 × 3,587,823
  4. Step 4: Simplify right side
    2,321,832x = 12,872,473,879,329
  5. Step 5: Solve for x
    x = 12,872,473,879,329/2,321,832
  6. Step 6: Final answer
    x = 5,544,102.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.