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Finding the Third Proportional to 4,089,569 and 8,602,198

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Solution

The third proportional to 4,089,569 and 8,602,198 is: 18,094,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089,569 : 8,602,198 = 8,602,198 : x
  2. Step 2: Convert to fraction form
    4,089,569/8,602,198 = 8,602,198/x
  3. Step 3: Cross multiply
    4,089,569x = 8,602,198 × 8,602,198
  4. Step 4: Simplify right side
    4,089,569x = 73,997,810,431,204
  5. Step 5: Solve for x
    x = 73,997,810,431,204/4,089,569
  6. Step 6: Final answer
    x = 18,094,280.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.