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Finding the Third Proportional to 874,158 and 1,902,135

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Solution

The third proportional to 874,158 and 1,902,135 is: 4,138,974.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,158 : 1,902,135 = 1,902,135 : x
  2. Step 2: Convert to fraction form
    874,158/1,902,135 = 1,902,135/x
  3. Step 3: Cross multiply
    874,158x = 1,902,135 × 1,902,135
  4. Step 4: Simplify right side
    874,158x = 3,618,117,558,225
  5. Step 5: Solve for x
    x = 3,618,117,558,225/874,158
  6. Step 6: Final answer
    x = 4,138,974.37

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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.