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Finding the Third Proportional to 441,983 and 967,558

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Solution

The third proportional to 441,983 and 967,558 is: 2,118,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,983 : 967,558 = 967,558 : x
  2. Step 2: Convert to fraction form
    441,983/967,558 = 967,558/x
  3. Step 3: Cross multiply
    441,983x = 967,558 × 967,558
  4. Step 4: Simplify right side
    441,983x = 936,168,483,364
  5. Step 5: Solve for x
    x = 936,168,483,364/441,983
  6. Step 6: Final answer
    x = 2,118,109.71

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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.