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Finding the Third Proportional to 585,990 and 1,279,368

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Solution

The third proportional to 585,990 and 1,279,368 is: 2,793,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,990 : 1,279,368 = 1,279,368 : x
  2. Step 2: Convert to fraction form
    585,990/1,279,368 = 1,279,368/x
  3. Step 3: Cross multiply
    585,990x = 1,279,368 × 1,279,368
  4. Step 4: Simplify right side
    585,990x = 1,636,782,479,424
  5. Step 5: Solve for x
    x = 1,636,782,479,424/585,990
  6. Step 6: Final answer
    x = 2,793,191.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.