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Finding the Third Proportional to 2,031,980 and 2,786,400

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Solution

The third proportional to 2,031,980 and 2,786,400 is: 3,820,916.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,980 : 2,786,400 = 2,786,400 : x
  2. Step 2: Convert to fraction form
    2,031,980/2,786,400 = 2,786,400/x
  3. Step 3: Cross multiply
    2,031,980x = 2,786,400 × 2,786,400
  4. Step 4: Simplify right side
    2,031,980x = 7,764,024,960,000
  5. Step 5: Solve for x
    x = 7,764,024,960,000/2,031,980
  6. Step 6: Final answer
    x = 3,820,916.03

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