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Finding the Third Proportional to 848,400 and 1,829,648

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Solution

The third proportional to 848,400 and 1,829,648 is: 3,945,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,400 : 1,829,648 = 1,829,648 : x
  2. Step 2: Convert to fraction form
    848,400/1,829,648 = 1,829,648/x
  3. Step 3: Cross multiply
    848,400x = 1,829,648 × 1,829,648
  4. Step 4: Simplify right side
    848,400x = 3,347,611,803,904
  5. Step 5: Solve for x
    x = 3,347,611,803,904/848,400
  6. Step 6: Final answer
    x = 3,945,794.21

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