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Finding the Third Proportional to 2,005,225 and 4,330,103

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Solution

The third proportional to 2,005,225 and 4,330,103 is: 9,350,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,225 : 4,330,103 = 4,330,103 : x
  2. Step 2: Convert to fraction form
    2,005,225/4,330,103 = 4,330,103/x
  3. Step 3: Cross multiply
    2,005,225x = 4,330,103 × 4,330,103
  4. Step 4: Simplify right side
    2,005,225x = 18,749,791,990,609
  5. Step 5: Solve for x
    x = 18,749,791,990,609/2,005,225
  6. Step 6: Final answer
    x = 9,350,467.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.