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Finding the Third Proportional to 445,170 and 1,049,824

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Solution

The third proportional to 445,170 and 1,049,824 is: 2,475,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,170 : 1,049,824 = 1,049,824 : x
  2. Step 2: Convert to fraction form
    445,170/1,049,824 = 1,049,824/x
  3. Step 3: Cross multiply
    445,170x = 1,049,824 × 1,049,824
  4. Step 4: Simplify right side
    445,170x = 1,102,130,430,976
  5. Step 5: Solve for x
    x = 1,102,130,430,976/445,170
  6. Step 6: Final answer
    x = 2,475,751.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.