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Finding the Third Proportional to 701,486 and 1,521,012

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Solution

The third proportional to 701,486 and 1,521,012 is: 3,297,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,486 : 1,521,012 = 1,521,012 : x
  2. Step 2: Convert to fraction form
    701,486/1,521,012 = 1,521,012/x
  3. Step 3: Cross multiply
    701,486x = 1,521,012 × 1,521,012
  4. Step 4: Simplify right side
    701,486x = 2,313,477,504,144
  5. Step 5: Solve for x
    x = 2,313,477,504,144/701,486
  6. Step 6: Final answer
    x = 3,297,966.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.