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Finding the Third Proportional to 1,179,785.44 and 1,821,834.94

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Solution

The third proportional to 1,179,785.44 and 1,821,834.94 is: 2,813,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179,785.44 : 1,821,834.94 = 1,821,834.94 : x
  2. Step 2: Convert to fraction form
    1,179,785.44/1,821,834.94 = 1,821,834.94/x
  3. Step 3: Cross multiply
    1,179,785.44x = 1,821,834.94 × 1,821,834.94
  4. Step 4: Simplify right side
    1,179,785.44x = 3,319,082,539,495.63
  5. Step 5: Solve for x
    x = 3,319,082,539,495.63/1,179,785.44
  6. Step 6: Final answer
    x = 2,813,293.36

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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.