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Finding the Third Proportional to 447,451,794 and 1,054,768,284

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Solution

The third proportional to 447,451,794 and 1,054,768,284 is: 2,486,382,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,451,794 : 1,054,768,284 = 1,054,768,284 : x
  2. Step 2: Convert to fraction form
    447,451,794/1,054,768,284 = 1,054,768,284/x
  3. Step 3: Cross multiply
    447,451,794x = 1,054,768,284 × 1,054,768,284
  4. Step 4: Simplify right side
    447,451,794x = 1,112,536,132,932,304,640
  5. Step 5: Solve for x
    x = 1,112,536,132,932,304,640/447,451,794
  6. Step 6: Final answer
    x = 2,486,382,103.84

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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.