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Finding the Third Proportional to 441,963 and 967,518

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Solution

The third proportional to 441,963 and 967,518 is: 2,118,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,963 : 967,518 = 967,518 : x
  2. Step 2: Convert to fraction form
    441,963/967,518 = 967,518/x
  3. Step 3: Cross multiply
    441,963x = 967,518 × 967,518
  4. Step 4: Simplify right side
    441,963x = 936,091,080,324
  5. Step 5: Solve for x
    x = 936,091,080,324/441,963
  6. Step 6: Final answer
    x = 2,118,030.42

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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.