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Finding the Third Proportional to 382,791 and 824,079

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Solution

The third proportional to 382,791 and 824,079 is: 1,774,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,791 : 824,079 = 824,079 : x
  2. Step 2: Convert to fraction form
    382,791/824,079 = 824,079/x
  3. Step 3: Cross multiply
    382,791x = 824,079 × 824,079
  4. Step 4: Simplify right side
    382,791x = 679,106,198,241
  5. Step 5: Solve for x
    x = 679,106,198,241/382,791
  6. Step 6: Final answer
    x = 1,774,091.34

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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.