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Finding the Third Proportional to 337,646 and 788,819

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Solution

The third proportional to 337,646 and 788,819 is: 1,842,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,646 : 788,819 = 788,819 : x
  2. Step 2: Convert to fraction form
    337,646/788,819 = 788,819/x
  3. Step 3: Cross multiply
    337,646x = 788,819 × 788,819
  4. Step 4: Simplify right side
    337,646x = 622,235,414,761
  5. Step 5: Solve for x
    x = 622,235,414,761/337,646
  6. Step 6: Final answer
    x = 1,842,863.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.