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Finding the Third Proportional to 612,760 and 1,296,176

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Solution

The third proportional to 612,760 and 1,296,176 is: 2,741,811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,760 : 1,296,176 = 1,296,176 : x
  2. Step 2: Convert to fraction form
    612,760/1,296,176 = 1,296,176/x
  3. Step 3: Cross multiply
    612,760x = 1,296,176 × 1,296,176
  4. Step 4: Simplify right side
    612,760x = 1,680,072,222,976
  5. Step 5: Solve for x
    x = 1,680,072,222,976/612,760
  6. Step 6: Final answer
    x = 2,741,811.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.