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Finding the Third Proportional to 441,987 and 967,566

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Solution

The third proportional to 441,987 and 967,566 is: 2,118,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,987 : 967,566 = 967,566 : x
  2. Step 2: Convert to fraction form
    441,987/967,566 = 967,566/x
  3. Step 3: Cross multiply
    441,987x = 967,566 × 967,566
  4. Step 4: Simplify right side
    441,987x = 936,183,964,356
  5. Step 5: Solve for x
    x = 936,183,964,356/441,987
  6. Step 6: Final answer
    x = 2,118,125.57

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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.