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Finding the Third Proportional to 848,448 and 1,846,224

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Solution

The third proportional to 848,448 and 1,846,224 is: 4,017,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,448 : 1,846,224 = 1,846,224 : x
  2. Step 2: Convert to fraction form
    848,448/1,846,224 = 1,846,224/x
  3. Step 3: Cross multiply
    848,448x = 1,846,224 × 1,846,224
  4. Step 4: Simplify right side
    848,448x = 3,408,543,058,176
  5. Step 5: Solve for x
    x = 3,408,543,058,176/848,448
  6. Step 6: Final answer
    x = 4,017,385.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.