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Finding the Third Proportional to 2,152,204.50 and 3,296,103

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Solution

The third proportional to 2,152,204.50 and 3,296,103 is: 5,047,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,204.50 : 3,296,103 = 3,296,103 : x
  2. Step 2: Convert to fraction form
    2,152,204.50/3,296,103 = 3,296,103/x
  3. Step 3: Cross multiply
    2,152,204.50x = 3,296,103 × 3,296,103
  4. Step 4: Simplify right side
    2,152,204.50x = 10,864,294,986,609
  5. Step 5: Solve for x
    x = 10,864,294,986,609/2,152,204.50
  6. Step 6: Final answer
    x = 5,047,984.51

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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.