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Finding the Third Proportional to 1,421,296 and 2,899,685

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Solution

The third proportional to 1,421,296 and 2,899,685 is: 5,915,849.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421,296 : 2,899,685 = 2,899,685 : x
  2. Step 2: Convert to fraction form
    1,421,296/2,899,685 = 2,899,685/x
  3. Step 3: Cross multiply
    1,421,296x = 2,899,685 × 2,899,685
  4. Step 4: Simplify right side
    1,421,296x = 8,408,173,099,225
  5. Step 5: Solve for x
    x = 8,408,173,099,225/1,421,296
  6. Step 6: Final answer
    x = 5,915,849.41

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.