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Finding the Third Proportional to 632,009 and 1,382,257

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Solution

The third proportional to 632,009 and 1,382,257 is: 3,023,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,009 : 1,382,257 = 1,382,257 : x
  2. Step 2: Convert to fraction form
    632,009/1,382,257 = 1,382,257/x
  3. Step 3: Cross multiply
    632,009x = 1,382,257 × 1,382,257
  4. Step 4: Simplify right side
    632,009x = 1,910,634,414,049
  5. Step 5: Solve for x
    x = 1,910,634,414,049/632,009
  6. Step 6: Final answer
    x = 3,023,112.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.