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Finding the Third Proportional to 474,824 and 1,120,868

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Solution

The third proportional to 474,824 and 1,120,868 is: 2,645,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,824 : 1,120,868 = 1,120,868 : x
  2. Step 2: Convert to fraction form
    474,824/1,120,868 = 1,120,868/x
  3. Step 3: Cross multiply
    474,824x = 1,120,868 × 1,120,868
  4. Step 4: Simplify right side
    474,824x = 1,256,345,073,424
  5. Step 5: Solve for x
    x = 1,256,345,073,424/474,824
  6. Step 6: Final answer
    x = 2,645,917.38

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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.