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Finding the Third Proportional to 852,380 and 1,294,122

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Solution

The third proportional to 852,380 and 1,294,122 is: 1,964,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,380 : 1,294,122 = 1,294,122 : x
  2. Step 2: Convert to fraction form
    852,380/1,294,122 = 1,294,122/x
  3. Step 3: Cross multiply
    852,380x = 1,294,122 × 1,294,122
  4. Step 4: Simplify right side
    852,380x = 1,674,751,750,884
  5. Step 5: Solve for x
    x = 1,674,751,750,884/852,380
  6. Step 6: Final answer
    x = 1,964,794.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.