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Finding the Third Proportional to 2,213,520 and 3,384,513

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Solution

The third proportional to 2,213,520 and 3,384,513 is: 5,174,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213,520 : 3,384,513 = 3,384,513 : x
  2. Step 2: Convert to fraction form
    2,213,520/3,384,513 = 3,384,513/x
  3. Step 3: Cross multiply
    2,213,520x = 3,384,513 × 3,384,513
  4. Step 4: Simplify right side
    2,213,520x = 11,454,928,247,169
  5. Step 5: Solve for x
    x = 11,454,928,247,169/2,213,520
  6. Step 6: Final answer
    x = 5,174,982.94

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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.