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Finding the Third Proportional to 1,929,069 and 2,821,173

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Solution

The third proportional to 1,929,069 and 2,821,173 is: 4,125,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929,069 : 2,821,173 = 2,821,173 : x
  2. Step 2: Convert to fraction form
    1,929,069/2,821,173 = 2,821,173/x
  3. Step 3: Cross multiply
    1,929,069x = 2,821,173 × 2,821,173
  4. Step 4: Simplify right side
    1,929,069x = 7,959,017,095,929
  5. Step 5: Solve for x
    x = 7,959,017,095,929/1,929,069
  6. Step 6: Final answer
    x = 4,125,833.29

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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.