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Finding the Third Proportional to 751,839 and 1,754,352

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Solution

The third proportional to 751,839 and 1,754,352 is: 4,093,630.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,839 : 1,754,352 = 1,754,352 : x
  2. Step 2: Convert to fraction form
    751,839/1,754,352 = 1,754,352/x
  3. Step 3: Cross multiply
    751,839x = 1,754,352 × 1,754,352
  4. Step 4: Simplify right side
    751,839x = 3,077,750,939,904
  5. Step 5: Solve for x
    x = 3,077,750,939,904/751,839
  6. Step 6: Final answer
    x = 4,093,630.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.