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Finding the Third Proportional to 554,769 and 1,194,993

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Solution

The third proportional to 554,769 and 1,194,993 is: 2,574,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,769 : 1,194,993 = 1,194,993 : x
  2. Step 2: Convert to fraction form
    554,769/1,194,993 = 1,194,993/x
  3. Step 3: Cross multiply
    554,769x = 1,194,993 × 1,194,993
  4. Step 4: Simplify right side
    554,769x = 1,428,008,270,049
  5. Step 5: Solve for x
    x = 1,428,008,270,049/554,769
  6. Step 6: Final answer
    x = 2,574,059.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.