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Finding the Third Proportional to 2,005,223 and 4,175,680

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Solution

The third proportional to 2,005,223 and 4,175,680 is: 8,695,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,223 : 4,175,680 = 4,175,680 : x
  2. Step 2: Convert to fraction form
    2,005,223/4,175,680 = 4,175,680/x
  3. Step 3: Cross multiply
    2,005,223x = 4,175,680 × 4,175,680
  4. Step 4: Simplify right side
    2,005,223x = 17,436,303,462,400
  5. Step 5: Solve for x
    x = 17,436,303,462,400/2,005,223
  6. Step 6: Final answer
    x = 8,695,443.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.