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Finding the Third Proportional to 2,099,040 and 4,489,880

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Solution

The third proportional to 2,099,040 and 4,489,880 is: 9,603,924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,040 : 4,489,880 = 4,489,880 : x
  2. Step 2: Convert to fraction form
    2,099,040/4,489,880 = 4,489,880/x
  3. Step 3: Cross multiply
    2,099,040x = 4,489,880 × 4,489,880
  4. Step 4: Simplify right side
    2,099,040x = 20,159,022,414,400
  5. Step 5: Solve for x
    x = 20,159,022,414,400/2,099,040
  6. Step 6: Final answer
    x = 9,603,924.85

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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.