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Finding the Third Proportional to 794,936 and 1,189,378

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Solution

The third proportional to 794,936 and 1,189,378 is: 1,779,539.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,936 : 1,189,378 = 1,189,378 : x
  2. Step 2: Convert to fraction form
    794,936/1,189,378 = 1,189,378/x
  3. Step 3: Cross multiply
    794,936x = 1,189,378 × 1,189,378
  4. Step 4: Simplify right side
    794,936x = 1,414,620,026,884
  5. Step 5: Solve for x
    x = 1,414,620,026,884/794,936
  6. Step 6: Final answer
    x = 1,779,539.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.