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Finding the Third Proportional to 1,179,813 and 1,821,876

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Solution

The third proportional to 1,179,813 and 1,821,876 is: 2,813,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179,813 : 1,821,876 = 1,821,876 : x
  2. Step 2: Convert to fraction form
    1,179,813/1,821,876 = 1,821,876/x
  3. Step 3: Cross multiply
    1,179,813x = 1,821,876 × 1,821,876
  4. Step 4: Simplify right side
    1,179,813x = 3,319,232,159,376
  5. Step 5: Solve for x
    x = 3,319,232,159,376/1,179,813
  6. Step 6: Final answer
    x = 2,813,354.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.