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Finding the Third Proportional to 608,451,628 and 1,328,400,728

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Solution

The third proportional to 608,451,628 and 1,328,400,728 is: 2,900,228,075.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,451,628 : 1,328,400,728 = 1,328,400,728 : x
  2. Step 2: Convert to fraction form
    608,451,628/1,328,400,728 = 1,328,400,728/x
  3. Step 3: Cross multiply
    608,451,628x = 1,328,400,728 × 1,328,400,728
  4. Step 4: Simplify right side
    608,451,628x = 1,764,648,494,150,929,920
  5. Step 5: Solve for x
    x = 1,764,648,494,150,929,920/608,451,628
  6. Step 6: Final answer
    x = 2,900,228,075.57

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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.