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Finding the Third Proportional to 454,462,806 and 981,566,844

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Solution

The third proportional to 454,462,806 and 981,566,844 is: 2,120,027,110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,462,806 : 981,566,844 = 981,566,844 : x
  2. Step 2: Convert to fraction form
    454,462,806/981,566,844 = 981,566,844/x
  3. Step 3: Cross multiply
    454,462,806x = 981,566,844 × 981,566,844
  4. Step 4: Simplify right side
    454,462,806x = 963,473,469,240,120,320
  5. Step 5: Solve for x
    x = 963,473,469,240,120,320/454,462,806
  6. Step 6: Final answer
    x = 2,120,027,110.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.