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Finding the Third Proportional to 1,821,318 and 2,672,923

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Solution

The third proportional to 1,821,318 and 2,672,923 is: 3,922,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821,318 : 2,672,923 = 2,672,923 : x
  2. Step 2: Convert to fraction form
    1,821,318/2,672,923 = 2,672,923/x
  3. Step 3: Cross multiply
    1,821,318x = 2,672,923 × 2,672,923
  4. Step 4: Simplify right side
    1,821,318x = 7,144,517,363,929
  5. Step 5: Solve for x
    x = 7,144,517,363,929/1,821,318
  6. Step 6: Final answer
    x = 3,922,718.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.