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Finding the Third Proportional to 1,378,228 and 2,923,208

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Solution

The third proportional to 1,378,228 and 2,923,208 is: 6,200,095.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,228 : 2,923,208 = 2,923,208 : x
  2. Step 2: Convert to fraction form
    1,378,228/2,923,208 = 2,923,208/x
  3. Step 3: Cross multiply
    1,378,228x = 2,923,208 × 2,923,208
  4. Step 4: Simplify right side
    1,378,228x = 8,545,145,011,264
  5. Step 5: Solve for x
    x = 8,545,145,011,264/1,378,228
  6. Step 6: Final answer
    x = 6,200,095.35

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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.