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Finding the Third Proportional to 2,106,176 and 3,267,200

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Solution

The third proportional to 2,106,176 and 3,267,200 is: 5,068,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,176 : 3,267,200 = 3,267,200 : x
  2. Step 2: Convert to fraction form
    2,106,176/3,267,200 = 3,267,200/x
  3. Step 3: Cross multiply
    2,106,176x = 3,267,200 × 3,267,200
  4. Step 4: Simplify right side
    2,106,176x = 10,674,595,840,000
  5. Step 5: Solve for x
    x = 10,674,595,840,000/2,106,176
  6. Step 6: Final answer
    x = 5,068,235.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.