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Finding the Third Proportional to 1,378,230 and 2,923,212

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Solution

The third proportional to 1,378,230 and 2,923,212 is: 6,200,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,230 : 2,923,212 = 2,923,212 : x
  2. Step 2: Convert to fraction form
    1,378,230/2,923,212 = 2,923,212/x
  3. Step 3: Cross multiply
    1,378,230x = 2,923,212 × 2,923,212
  4. Step 4: Simplify right side
    1,378,230x = 8,545,168,396,944
  5. Step 5: Solve for x
    x = 8,545,168,396,944/1,378,230
  6. Step 6: Final answer
    x = 6,200,103.32

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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.