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Finding the Third Proportional to 1,929,071 and 2,821,176

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Solution

The third proportional to 1,929,071 and 2,821,176 is: 4,125,837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929,071 : 2,821,176 = 2,821,176 : x
  2. Step 2: Convert to fraction form
    1,929,071/2,821,176 = 2,821,176/x
  3. Step 3: Cross multiply
    1,929,071x = 2,821,176 × 2,821,176
  4. Step 4: Simplify right side
    1,929,071x = 7,959,034,022,976
  5. Step 5: Solve for x
    x = 7,959,034,022,976/1,929,071
  6. Step 6: Final answer
    x = 4,125,837.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.