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Finding the Third Proportional to 677,762.25 and 1,467,105

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Solution

The third proportional to 677,762.25 and 1,467,105 is: 3,175,740.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,762.25 : 1,467,105 = 1,467,105 : x
  2. Step 2: Convert to fraction form
    677,762.25/1,467,105 = 1,467,105/x
  3. Step 3: Cross multiply
    677,762.25x = 1,467,105 × 1,467,105
  4. Step 4: Simplify right side
    677,762.25x = 2,152,397,081,025
  5. Step 5: Solve for x
    x = 2,152,397,081,025/677,762.25
  6. Step 6: Final answer
    x = 3,175,740.58

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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.