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Finding the Third Proportional to 441,987,709 and 962,446,014

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Solution

The third proportional to 441,987,709 and 962,446,014 is: 2,095,764,907.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,987,709 : 962,446,014 = 962,446,014 : x
  2. Step 2: Convert to fraction form
    441,987,709/962,446,014 = 962,446,014/x
  3. Step 3: Cross multiply
    441,987,709x = 962,446,014 × 962,446,014
  4. Step 4: Simplify right side
    441,987,709x = 926,302,329,864,488,192
  5. Step 5: Solve for x
    x = 926,302,329,864,488,192/441,987,709
  6. Step 6: Final answer
    x = 2,095,764,907.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.