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Finding the Third Proportional to 2,314,728 and 3,538,800

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Solution

The third proportional to 2,314,728 and 3,538,800 is: 5,410,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314,728 : 3,538,800 = 3,538,800 : x
  2. Step 2: Convert to fraction form
    2,314,728/3,538,800 = 3,538,800/x
  3. Step 3: Cross multiply
    2,314,728x = 3,538,800 × 3,538,800
  4. Step 4: Simplify right side
    2,314,728x = 12,523,105,440,000
  5. Step 5: Solve for x
    x = 12,523,105,440,000/2,314,728
  6. Step 6: Final answer
    x = 5,410,184.45

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Why These Related Problems?

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