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Finding the Third Proportional to 741,066 and 1,508,322

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Solution

The third proportional to 741,066 and 1,508,322 is: 3,069,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,066 : 1,508,322 = 1,508,322 : x
  2. Step 2: Convert to fraction form
    741,066/1,508,322 = 1,508,322/x
  3. Step 3: Cross multiply
    741,066x = 1,508,322 × 1,508,322
  4. Step 4: Simplify right side
    741,066x = 2,275,035,255,684
  5. Step 5: Solve for x
    x = 2,275,035,255,684/741,066
  6. Step 6: Final answer
    x = 3,069,949.58

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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.