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Finding the Third Proportional to 2,025,840 and 4,322,841

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Solution

The third proportional to 2,025,840 and 4,322,841 is: 9,224,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025,840 : 4,322,841 = 4,322,841 : x
  2. Step 2: Convert to fraction form
    2,025,840/4,322,841 = 4,322,841/x
  3. Step 3: Cross multiply
    2,025,840x = 4,322,841 × 4,322,841
  4. Step 4: Simplify right side
    2,025,840x = 18,686,954,311,281
  5. Step 5: Solve for x
    x = 18,686,954,311,281/2,025,840
  6. Step 6: Final answer
    x = 9,224,299.21

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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.