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Finding the Third Proportional to 741,072 and 1,508,388

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Solution

The third proportional to 741,072 and 1,508,388 is: 3,070,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,072 : 1,508,388 = 1,508,388 : x
  2. Step 2: Convert to fraction form
    741,072/1,508,388 = 1,508,388/x
  3. Step 3: Cross multiply
    741,072x = 1,508,388 × 1,508,388
  4. Step 4: Simplify right side
    741,072x = 2,275,234,358,544
  5. Step 5: Solve for x
    x = 2,275,234,358,544/741,072
  6. Step 6: Final answer
    x = 3,070,193.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.