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Finding the Third Proportional to 848,441 and 1,829,722

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Solution

The third proportional to 848,441 and 1,829,722 is: 3,945,922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,441 : 1,829,722 = 1,829,722 : x
  2. Step 2: Convert to fraction form
    848,441/1,829,722 = 1,829,722/x
  3. Step 3: Cross multiply
    848,441x = 1,829,722 × 1,829,722
  4. Step 4: Simplify right side
    848,441x = 3,347,882,597,284
  5. Step 5: Solve for x
    x = 3,347,882,597,284/848,441
  6. Step 6: Final answer
    x = 3,945,922.70

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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.