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Finding the Third Proportional to 612,757 and 1,296,170

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Solution

The third proportional to 612,757 and 1,296,170 is: 2,741,799.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,757 : 1,296,170 = 1,296,170 : x
  2. Step 2: Convert to fraction form
    612,757/1,296,170 = 1,296,170/x
  3. Step 3: Cross multiply
    612,757x = 1,296,170 × 1,296,170
  4. Step 4: Simplify right side
    612,757x = 1,680,056,668,900
  5. Step 5: Solve for x
    x = 1,680,056,668,900/612,757
  6. Step 6: Final answer
    x = 2,741,799.23

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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.