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Finding the Third Proportional to 2,106,900 and 4,550,100

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Solution

The third proportional to 2,106,900 and 4,550,100 is: 9,826,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,900 : 4,550,100 = 4,550,100 : x
  2. Step 2: Convert to fraction form
    2,106,900/4,550,100 = 4,550,100/x
  3. Step 3: Cross multiply
    2,106,900x = 4,550,100 × 4,550,100
  4. Step 4: Simplify right side
    2,106,900x = 20,703,410,010,000
  5. Step 5: Solve for x
    x = 20,703,410,010,000/2,106,900
  6. Step 6: Final answer
    x = 9,826,479.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.