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Finding the Third Proportional to 795,048 and 1,189,420

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Solution

The third proportional to 795,048 and 1,189,420 is: 1,779,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,048 : 1,189,420 = 1,189,420 : x
  2. Step 2: Convert to fraction form
    795,048/1,189,420 = 1,189,420/x
  3. Step 3: Cross multiply
    795,048x = 1,189,420 × 1,189,420
  4. Step 4: Simplify right side
    795,048x = 1,414,719,936,400
  5. Step 5: Solve for x
    x = 1,414,719,936,400/795,048
  6. Step 6: Final answer
    x = 1,779,414.50

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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.