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Finding the Third Proportional to 854,284 and 1,879,100

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Solution

The third proportional to 854,284 and 1,879,100 is: 4,133,305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,284 : 1,879,100 = 1,879,100 : x
  2. Step 2: Convert to fraction form
    854,284/1,879,100 = 1,879,100/x
  3. Step 3: Cross multiply
    854,284x = 1,879,100 × 1,879,100
  4. Step 4: Simplify right side
    854,284x = 3,531,016,810,000
  5. Step 5: Solve for x
    x = 3,531,016,810,000/854,284
  6. Step 6: Final answer
    x = 4,133,305.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.