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Finding the Third Proportional to 677,786 and 1,467,150

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Solution

The third proportional to 677,786 and 1,467,150 is: 3,175,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,786 : 1,467,150 = 1,467,150 : x
  2. Step 2: Convert to fraction form
    677,786/1,467,150 = 1,467,150/x
  3. Step 3: Cross multiply
    677,786x = 1,467,150 × 1,467,150
  4. Step 4: Simplify right side
    677,786x = 2,152,529,122,500
  5. Step 5: Solve for x
    x = 2,152,529,122,500/677,786
  6. Step 6: Final answer
    x = 3,175,824.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.