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Finding the Third Proportional to 455,698 and 981,512

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Solution

The third proportional to 455,698 and 981,512 is: 2,114,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,698 : 981,512 = 981,512 : x
  2. Step 2: Convert to fraction form
    455,698/981,512 = 981,512/x
  3. Step 3: Cross multiply
    455,698x = 981,512 × 981,512
  4. Step 4: Simplify right side
    455,698x = 963,365,806,144
  5. Step 5: Solve for x
    x = 963,365,806,144/455,698
  6. Step 6: Final answer
    x = 2,114,044.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.