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Finding the Third Proportional to 2,469,253.50 and 3,800,178

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Solution

The third proportional to 2,469,253.50 and 3,800,178 is: 5,848,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469,253.50 : 3,800,178 = 3,800,178 : x
  2. Step 2: Convert to fraction form
    2,469,253.50/3,800,178 = 3,800,178/x
  3. Step 3: Cross multiply
    2,469,253.50x = 3,800,178 × 3,800,178
  4. Step 4: Simplify right side
    2,469,253.50x = 14,441,352,831,684
  5. Step 5: Solve for x
    x = 14,441,352,831,684/2,469,253.50
  6. Step 6: Final answer
    x = 5,848,469.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.