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Finding the Third Proportional to 454,458,512 and 981,558,220

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Solution

The third proportional to 454,458,512 and 981,558,220 is: 2,120,009,888.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,458,512 : 981,558,220 = 981,558,220 : x
  2. Step 2: Convert to fraction form
    454,458,512/981,558,220 = 981,558,220/x
  3. Step 3: Cross multiply
    454,458,512x = 981,558,220 × 981,558,220
  4. Step 4: Simplify right side
    454,458,512x = 963,456,539,249,568,384
  5. Step 5: Solve for x
    x = 963,456,539,249,568,384/454,458,512
  6. Step 6: Final answer
    x = 2,120,009,888.27

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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.