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Finding the Third Proportional to 815,940 and 1,744,148

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Solution

The third proportional to 815,940 and 1,744,148 is: 3,728,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,940 : 1,744,148 = 1,744,148 : x
  2. Step 2: Convert to fraction form
    815,940/1,744,148 = 1,744,148/x
  3. Step 3: Cross multiply
    815,940x = 1,744,148 × 1,744,148
  4. Step 4: Simplify right side
    815,940x = 3,042,052,245,904
  5. Step 5: Solve for x
    x = 3,042,052,245,904/815,940
  6. Step 6: Final answer
    x = 3,728,279.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.