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Finding the Third Proportional to 814,041 and 1,196,676

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Solution

The third proportional to 814,041 and 1,196,676 is: 1,759,166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,041 : 1,196,676 = 1,196,676 : x
  2. Step 2: Convert to fraction form
    814,041/1,196,676 = 1,196,676/x
  3. Step 3: Cross multiply
    814,041x = 1,196,676 × 1,196,676
  4. Step 4: Simplify right side
    814,041x = 1,432,033,448,976
  5. Step 5: Solve for x
    x = 1,432,033,448,976/814,041
  6. Step 6: Final answer
    x = 1,759,166.24

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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.