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Finding the Third Proportional to 894,172 and 1,940,768

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Solution

The third proportional to 894,172 and 1,940,768 is: 4,212,366.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,172 : 1,940,768 = 1,940,768 : x
  2. Step 2: Convert to fraction form
    894,172/1,940,768 = 1,940,768/x
  3. Step 3: Cross multiply
    894,172x = 1,940,768 × 1,940,768
  4. Step 4: Simplify right side
    894,172x = 3,766,580,429,824
  5. Step 5: Solve for x
    x = 3,766,580,429,824/894,172
  6. Step 6: Final answer
    x = 4,212,366.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.