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Finding the Third Proportional to 1,821,223 and 2,672,784

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Solution

The third proportional to 1,821,223 and 2,672,784 is: 3,922,514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821,223 : 2,672,784 = 2,672,784 : x
  2. Step 2: Convert to fraction form
    1,821,223/2,672,784 = 2,672,784/x
  3. Step 3: Cross multiply
    1,821,223x = 2,672,784 × 2,672,784
  4. Step 4: Simplify right side
    1,821,223x = 7,143,774,310,656
  5. Step 5: Solve for x
    x = 7,143,774,310,656/1,821,223
  6. Step 6: Final answer
    x = 3,922,514.88

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