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Finding the Third Proportional to 2,031,984 and 2,786,405

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Solution

The third proportional to 2,031,984 and 2,786,405 is: 3,820,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,984 : 2,786,405 = 2,786,405 : x
  2. Step 2: Convert to fraction form
    2,031,984/2,786,405 = 2,786,405/x
  3. Step 3: Cross multiply
    2,031,984x = 2,786,405 × 2,786,405
  4. Step 4: Simplify right side
    2,031,984x = 7,764,052,824,025
  5. Step 5: Solve for x
    x = 7,764,052,824,025/2,031,984
  6. Step 6: Final answer
    x = 3,820,922.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.