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Finding the Third Proportional to 375,684 and 822,999

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Solution

The third proportional to 375,684 and 822,999 is: 1,802,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,684 : 822,999 = 822,999 : x
  2. Step 2: Convert to fraction form
    375,684/822,999 = 822,999/x
  3. Step 3: Cross multiply
    375,684x = 822,999 × 822,999
  4. Step 4: Simplify right side
    375,684x = 677,327,354,001
  5. Step 5: Solve for x
    x = 677,327,354,001/375,684
  6. Step 6: Final answer
    x = 1,802,917.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.