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Finding the Third Proportional to 1,820,161 and 3,949,723

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Solution

The third proportional to 1,820,161 and 3,949,723 is: 8,570,841.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820,161 : 3,949,723 = 3,949,723 : x
  2. Step 2: Convert to fraction form
    1,820,161/3,949,723 = 3,949,723/x
  3. Step 3: Cross multiply
    1,820,161x = 3,949,723 × 3,949,723
  4. Step 4: Simplify right side
    1,820,161x = 15,600,311,776,729
  5. Step 5: Solve for x
    x = 15,600,311,776,729/1,820,161
  6. Step 6: Final answer
    x = 8,570,841.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.