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Finding the Third Proportional to 802,980 and 1,783,104

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Solution

The third proportional to 802,980 and 1,783,104 is: 3,959,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,980 : 1,783,104 = 1,783,104 : x
  2. Step 2: Convert to fraction form
    802,980/1,783,104 = 1,783,104/x
  3. Step 3: Cross multiply
    802,980x = 1,783,104 × 1,783,104
  4. Step 4: Simplify right side
    802,980x = 3,179,459,874,816
  5. Step 5: Solve for x
    x = 3,179,459,874,816/802,980
  6. Step 6: Final answer
    x = 3,959,575.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.