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Finding the Third Proportional to 412,067,958 and 895,703,196

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Solution

The third proportional to 412,067,958 and 895,703,196 is: 1,946,970,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,067,958 : 895,703,196 = 895,703,196 : x
  2. Step 2: Convert to fraction form
    412,067,958/895,703,196 = 895,703,196/x
  3. Step 3: Cross multiply
    412,067,958x = 895,703,196 × 895,703,196
  4. Step 4: Simplify right side
    412,067,958x = 802,284,215,324,614,400
  5. Step 5: Solve for x
    x = 802,284,215,324,614,400/412,067,958
  6. Step 6: Final answer
    x = 1,946,970,638.58

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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.