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Finding the Third Proportional to 1,200,679,204 and 1,793,950,422

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Solution

The third proportional to 1,200,679,204 and 1,793,950,422 is: 2,680,364,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,679,204 : 1,793,950,422 = 1,793,950,422 : x
  2. Step 2: Convert to fraction form
    1,200,679,204/1,793,950,422 = 1,793,950,422/x
  3. Step 3: Cross multiply
    1,200,679,204x = 1,793,950,422 × 1,793,950,422
  4. Step 4: Simplify right side
    1,200,679,204x = 3,218,258,116,593,977,856
  5. Step 5: Solve for x
    x = 3,218,258,116,593,977,856/1,200,679,204
  6. Step 6: Final answer
    x = 2,680,364,668.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.