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Finding the Third Proportional to 1,537,224 and 2,189,800

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Solution

The third proportional to 1,537,224 and 2,189,800 is: 3,119,404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,224 : 2,189,800 = 2,189,800 : x
  2. Step 2: Convert to fraction form
    1,537,224/2,189,800 = 2,189,800/x
  3. Step 3: Cross multiply
    1,537,224x = 2,189,800 × 2,189,800
  4. Step 4: Simplify right side
    1,537,224x = 4,795,224,040,000
  5. Step 5: Solve for x
    x = 4,795,224,040,000/1,537,224
  6. Step 6: Final answer
    x = 3,119,404.88

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.