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Finding the Third Proportional to 706,839,750 and 1,138,907,131

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Solution

The third proportional to 706,839,750 and 1,138,907,131 is: 1,835,082,779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,839,750 : 1,138,907,131 = 1,138,907,131 : x
  2. Step 2: Convert to fraction form
    706,839,750/1,138,907,131 = 1,138,907,131/x
  3. Step 3: Cross multiply
    706,839,750x = 1,138,907,131 × 1,138,907,131
  4. Step 4: Simplify right side
    706,839,750x = 1,297,109,453,042,651,136
  5. Step 5: Solve for x
    x = 1,297,109,453,042,651,136/706,839,750
  6. Step 6: Final answer
    x = 1,835,082,779.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.