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Finding the Third Proportional to 1,380,224 and 2,107,200

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Solution

The third proportional to 1,380,224 and 2,107,200 is: 3,217,080.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,224 : 2,107,200 = 2,107,200 : x
  2. Step 2: Convert to fraction form
    1,380,224/2,107,200 = 2,107,200/x
  3. Step 3: Cross multiply
    1,380,224x = 2,107,200 × 2,107,200
  4. Step 4: Simplify right side
    1,380,224x = 4,440,291,840,000
  5. Step 5: Solve for x
    x = 4,440,291,840,000/1,380,224
  6. Step 6: Final answer
    x = 3,217,080.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.