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Finding the Third Proportional to 826,362.75 and 1,263,993

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Solution

The third proportional to 826,362.75 and 1,263,993 is: 1,933,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,362.75 : 1,263,993 = 1,263,993 : x
  2. Step 2: Convert to fraction form
    826,362.75/1,263,993 = 1,263,993/x
  3. Step 3: Cross multiply
    826,362.75x = 1,263,993 × 1,263,993
  4. Step 4: Simplify right side
    826,362.75x = 1,597,678,304,049
  5. Step 5: Solve for x
    x = 1,597,678,304,049/826,362.75
  6. Step 6: Final answer
    x = 1,933,386.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.