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Finding the Third Proportional to 651,678 and 1,382,016

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Solution

The third proportional to 651,678 and 1,382,016 is: 2,930,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,678 : 1,382,016 = 1,382,016 : x
  2. Step 2: Convert to fraction form
    651,678/1,382,016 = 1,382,016/x
  3. Step 3: Cross multiply
    651,678x = 1,382,016 × 1,382,016
  4. Step 4: Simplify right side
    651,678x = 1,909,968,224,256
  5. Step 5: Solve for x
    x = 1,909,968,224,256/651,678
  6. Step 6: Final answer
    x = 2,930,846.56

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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.