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Finding the Third Proportional to 2,100,393 and 3,169,910

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Solution

The third proportional to 2,100,393 and 3,169,910 is: 4,784,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100,393 : 3,169,910 = 3,169,910 : x
  2. Step 2: Convert to fraction form
    2,100,393/3,169,910 = 3,169,910/x
  3. Step 3: Cross multiply
    2,100,393x = 3,169,910 × 3,169,910
  4. Step 4: Simplify right side
    2,100,393x = 10,048,329,408,100
  5. Step 5: Solve for x
    x = 10,048,329,408,100/2,100,393
  6. Step 6: Final answer
    x = 4,784,023.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.