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Finding the Third Proportional to 2,004,048 and 4,205,034

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Solution

The third proportional to 2,004,048 and 4,205,034 is: 8,823,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,048 : 4,205,034 = 4,205,034 : x
  2. Step 2: Convert to fraction form
    2,004,048/4,205,034 = 4,205,034/x
  3. Step 3: Cross multiply
    2,004,048x = 4,205,034 × 4,205,034
  4. Step 4: Simplify right side
    2,004,048x = 17,682,310,941,156
  5. Step 5: Solve for x
    x = 17,682,310,941,156/2,004,048
  6. Step 6: Final answer
    x = 8,823,297.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.