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Finding the Third Proportional to 848,480 and 1,189,296

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Solution

The third proportional to 848,480 and 1,189,296 is: 1,667,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,480 : 1,189,296 = 1,189,296 : x
  2. Step 2: Convert to fraction form
    848,480/1,189,296 = 1,189,296/x
  3. Step 3: Cross multiply
    848,480x = 1,189,296 × 1,189,296
  4. Step 4: Simplify right side
    848,480x = 1,414,424,975,616
  5. Step 5: Solve for x
    x = 1,414,424,975,616/848,480
  6. Step 6: Final answer
    x = 1,667,010.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.