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Finding the Third Proportional to 858,296 and 1,864,084

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Solution

The third proportional to 858,296 and 1,864,084 is: 4,048,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,296 : 1,864,084 = 1,864,084 : x
  2. Step 2: Convert to fraction form
    858,296/1,864,084 = 1,864,084/x
  3. Step 3: Cross multiply
    858,296x = 1,864,084 × 1,864,084
  4. Step 4: Simplify right side
    858,296x = 3,474,809,159,056
  5. Step 5: Solve for x
    x = 3,474,809,159,056/858,296
  6. Step 6: Final answer
    x = 4,048,497.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.