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Finding the Third Proportional to 2,571,214 and 5,355,245

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Solution

The third proportional to 2,571,214 and 5,355,245 is: 11,153,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571,214 : 5,355,245 = 5,355,245 : x
  2. Step 2: Convert to fraction form
    2,571,214/5,355,245 = 5,355,245/x
  3. Step 3: Cross multiply
    2,571,214x = 5,355,245 × 5,355,245
  4. Step 4: Simplify right side
    2,571,214x = 28,678,649,010,025
  5. Step 5: Solve for x
    x = 28,678,649,010,025/2,571,214
  6. Step 6: Final answer
    x = 11,153,738.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.