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Finding the Third Proportional to 902,219 and 1,879,080

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Solution

The third proportional to 902,219 and 1,879,080 is: 3,913,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,219 : 1,879,080 = 1,879,080 : x
  2. Step 2: Convert to fraction form
    902,219/1,879,080 = 1,879,080/x
  3. Step 3: Cross multiply
    902,219x = 1,879,080 × 1,879,080
  4. Step 4: Simplify right side
    902,219x = 3,530,941,646,400
  5. Step 5: Solve for x
    x = 3,530,941,646,400/902,219
  6. Step 6: Final answer
    x = 3,913,619.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.