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Finding the Third Proportional to 412,994 and 848,223

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Solution

The third proportional to 412,994 and 848,223 is: 1,742,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,994 : 848,223 = 848,223 : x
  2. Step 2: Convert to fraction form
    412,994/848,223 = 848,223/x
  3. Step 3: Cross multiply
    412,994x = 848,223 × 848,223
  4. Step 4: Simplify right side
    412,994x = 719,482,257,729
  5. Step 5: Solve for x
    x = 719,482,257,729/412,994
  6. Step 6: Final answer
    x = 1,742,113.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.