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Finding the Third Proportional to 1,829,162 and 3,939,267

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Solution

The third proportional to 1,829,162 and 3,939,267 is: 8,483,570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829,162 : 3,939,267 = 3,939,267 : x
  2. Step 2: Convert to fraction form
    1,829,162/3,939,267 = 3,939,267/x
  3. Step 3: Cross multiply
    1,829,162x = 3,939,267 × 3,939,267
  4. Step 4: Simplify right side
    1,829,162x = 15,517,824,497,289
  5. Step 5: Solve for x
    x = 15,517,824,497,289/1,829,162
  6. Step 6: Final answer
    x = 8,483,570.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.