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Finding the Third Proportional to 1,823,536 and 3,968,156

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Solution

The third proportional to 1,823,536 and 3,968,156 is: 8,635,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,536 : 3,968,156 = 3,968,156 : x
  2. Step 2: Convert to fraction form
    1,823,536/3,968,156 = 3,968,156/x
  3. Step 3: Cross multiply
    1,823,536x = 3,968,156 × 3,968,156
  4. Step 4: Simplify right side
    1,823,536x = 15,746,262,040,336
  5. Step 5: Solve for x
    x = 15,746,262,040,336/1,823,536
  6. Step 6: Final answer
    x = 8,635,015.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.