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Finding the Third Proportional to 848,832 and 1,830,612

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Solution

The third proportional to 848,832 and 1,830,612 is: 3,947,942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,832 : 1,830,612 = 1,830,612 : x
  2. Step 2: Convert to fraction form
    848,832/1,830,612 = 1,830,612/x
  3. Step 3: Cross multiply
    848,832x = 1,830,612 × 1,830,612
  4. Step 4: Simplify right side
    848,832x = 3,351,140,294,544
  5. Step 5: Solve for x
    x = 3,351,140,294,544/848,832
  6. Step 6: Final answer
    x = 3,947,942.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.