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Finding the Third Proportional to 382,665 and 840,786

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Solution

The third proportional to 382,665 and 840,786 is: 1,847,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,665 : 840,786 = 840,786 : x
  2. Step 2: Convert to fraction form
    382,665/840,786 = 840,786/x
  3. Step 3: Cross multiply
    382,665x = 840,786 × 840,786
  4. Step 4: Simplify right side
    382,665x = 706,921,097,796
  5. Step 5: Solve for x
    x = 706,921,097,796/382,665
  6. Step 6: Final answer
    x = 1,847,362.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.