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Finding the Third Proportional to 419,414,728 and 629,122,146

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Solution

The third proportional to 419,414,728 and 629,122,146 is: 943,683,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,414,728 : 629,122,146 = 629,122,146 : x
  2. Step 2: Convert to fraction form
    419,414,728/629,122,146 = 629,122,146/x
  3. Step 3: Cross multiply
    419,414,728x = 629,122,146 × 629,122,146
  4. Step 4: Simplify right side
    419,414,728x = 395,794,674,587,645,312
  5. Step 5: Solve for x
    x = 395,794,674,587,645,312/419,414,728
  6. Step 6: Final answer
    x = 943,683,300.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.