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Finding the Third Proportional to 439,440,912 and 664,817,112

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Solution

The third proportional to 439,440,912 and 664,817,112 is: 1,005,782,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,440,912 : 664,817,112 = 664,817,112 : x
  2. Step 2: Convert to fraction form
    439,440,912/664,817,112 = 664,817,112/x
  3. Step 3: Cross multiply
    439,440,912x = 664,817,112 × 664,817,112
  4. Step 4: Simplify right side
    439,440,912x = 441,981,792,408,020,544
  5. Step 5: Solve for x
    x = 441,981,792,408,020,544/439,440,912
  6. Step 6: Final answer
    x = 1,005,782,075.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.