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Finding the Third Proportional to 412,968 and 848,169

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Solution

The third proportional to 412,968 and 848,169 is: 1,742,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,968 : 848,169 = 848,169 : x
  2. Step 2: Convert to fraction form
    412,968/848,169 = 848,169/x
  3. Step 3: Cross multiply
    412,968x = 848,169 × 848,169
  4. Step 4: Simplify right side
    412,968x = 719,390,652,561
  5. Step 5: Solve for x
    x = 719,390,652,561/412,968
  6. Step 6: Final answer
    x = 1,742,000.96

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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.