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Finding the Third Proportional to 2,005,309 and 4,330,195

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Solution

The third proportional to 2,005,309 and 4,330,195 is: 9,350,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,309 : 4,330,195 = 4,330,195 : x
  2. Step 2: Convert to fraction form
    2,005,309/4,330,195 = 4,330,195/x
  3. Step 3: Cross multiply
    2,005,309x = 4,330,195 × 4,330,195
  4. Step 4: Simplify right side
    2,005,309x = 18,750,588,738,025
  5. Step 5: Solve for x
    x = 18,750,588,738,025/2,005,309
  6. Step 6: Final answer
    x = 9,350,473.54

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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.