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Finding the Third Proportional to 2,376,451 and 3,576,021

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Solution

The third proportional to 2,376,451 and 3,576,021 is: 5,381,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376,451 : 3,576,021 = 3,576,021 : x
  2. Step 2: Convert to fraction form
    2,376,451/3,576,021 = 3,576,021/x
  3. Step 3: Cross multiply
    2,376,451x = 3,576,021 × 3,576,021
  4. Step 4: Simplify right side
    2,376,451x = 12,787,926,192,441
  5. Step 5: Solve for x
    x = 12,787,926,192,441/2,376,451
  6. Step 6: Final answer
    x = 5,381,102.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.