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Finding the Third Proportional to 946,408.22 and 2,082,059.86

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Solution

The third proportional to 946,408.22 and 2,082,059.86 is: 4,580,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,408.22 : 2,082,059.86 = 2,082,059.86 : x
  2. Step 2: Convert to fraction form
    946,408.22/2,082,059.86 = 2,082,059.86/x
  3. Step 3: Cross multiply
    946,408.22x = 2,082,059.86 × 2,082,059.86
  4. Step 4: Simplify right side
    946,408.22x = 4,334,973,258,020.64
  5. Step 5: Solve for x
    x = 4,334,973,258,020.64/946,408.22
  6. Step 6: Final answer
    x = 4,580,447.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.