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Finding the Third Proportional to 794,268 and 1,198,710

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Solution

The third proportional to 794,268 and 1,198,710 is: 1,809,094.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,268 : 1,198,710 = 1,198,710 : x
  2. Step 2: Convert to fraction form
    794,268/1,198,710 = 1,198,710/x
  3. Step 3: Cross multiply
    794,268x = 1,198,710 × 1,198,710
  4. Step 4: Simplify right side
    794,268x = 1,436,905,664,100
  5. Step 5: Solve for x
    x = 1,436,905,664,100/794,268
  6. Step 6: Final answer
    x = 1,809,094.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.