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Finding the Third Proportional to 441,991 and 967,574

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Solution

The third proportional to 441,991 and 967,574 is: 2,118,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,991 : 967,574 = 967,574 : x
  2. Step 2: Convert to fraction form
    441,991/967,574 = 967,574/x
  3. Step 3: Cross multiply
    441,991x = 967,574 × 967,574
  4. Step 4: Simplify right side
    441,991x = 936,199,445,476
  5. Step 5: Solve for x
    x = 936,199,445,476/441,991
  6. Step 6: Final answer
    x = 2,118,141.42

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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.