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Finding the Third Proportional to 381,460,335 and 823,902,966

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Solution

The third proportional to 381,460,335 and 823,902,966 is: 1,779,519,481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,460,335 : 823,902,966 = 823,902,966 : x
  2. Step 2: Convert to fraction form
    381,460,335/823,902,966 = 823,902,966/x
  3. Step 3: Cross multiply
    381,460,335x = 823,902,966 × 823,902,966
  4. Step 4: Simplify right side
    381,460,335x = 678,816,097,383,597,184
  5. Step 5: Solve for x
    x = 678,816,097,383,597,184/381,460,335
  6. Step 6: Final answer
    x = 1,779,519,481.06

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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.