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Finding the Third Proportional to 821,520 and 1,777,824

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Solution

The third proportional to 821,520 and 1,777,824 is: 3,847,329.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,520 : 1,777,824 = 1,777,824 : x
  2. Step 2: Convert to fraction form
    821,520/1,777,824 = 1,777,824/x
  3. Step 3: Cross multiply
    821,520x = 1,777,824 × 1,777,824
  4. Step 4: Simplify right side
    821,520x = 3,160,658,174,976
  5. Step 5: Solve for x
    x = 3,160,658,174,976/821,520
  6. Step 6: Final answer
    x = 3,847,329.55

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Why These Related Problems?

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