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Finding the Third Proportional to 2,257,426 and 4,821,004

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Solution

The third proportional to 2,257,426 and 4,821,004 is: 10,295,832.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257,426 : 4,821,004 = 4,821,004 : x
  2. Step 2: Convert to fraction form
    2,257,426/4,821,004 = 4,821,004/x
  3. Step 3: Cross multiply
    2,257,426x = 4,821,004 × 4,821,004
  4. Step 4: Simplify right side
    2,257,426x = 23,242,079,568,016
  5. Step 5: Solve for x
    x = 23,242,079,568,016/2,257,426
  6. Step 6: Final answer
    x = 10,295,832.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.