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Finding the Third Proportional to 867,405 and 1,879,611

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Solution

The third proportional to 867,405 and 1,879,611 is: 4,072,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,405 : 1,879,611 = 1,879,611 : x
  2. Step 2: Convert to fraction form
    867,405/1,879,611 = 1,879,611/x
  3. Step 3: Cross multiply
    867,405x = 1,879,611 × 1,879,611
  4. Step 4: Simplify right side
    867,405x = 3,532,937,511,321
  5. Step 5: Solve for x
    x = 3,532,937,511,321/867,405
  6. Step 6: Final answer
    x = 4,072,996.48

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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.