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Finding the Third Proportional to 419,834,328 and 911,032,296

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Solution

The third proportional to 419,834,328 and 911,032,296 is: 1,976,922,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,834,328 : 911,032,296 = 911,032,296 : x
  2. Step 2: Convert to fraction form
    419,834,328/911,032,296 = 911,032,296/x
  3. Step 3: Cross multiply
    419,834,328x = 911,032,296 × 911,032,296
  4. Step 4: Simplify right side
    419,834,328x = 829,979,844,355,031,552
  5. Step 5: Solve for x
    x = 829,979,844,355,031,552/419,834,328
  6. Step 6: Final answer
    x = 1,976,922,297.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.