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Finding the Third Proportional to 701,161,576 and 1,094,189,380

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Solution

The third proportional to 701,161,576 and 1,094,189,380 is: 1,707,524,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,161,576 : 1,094,189,380 = 1,094,189,380 : x
  2. Step 2: Convert to fraction form
    701,161,576/1,094,189,380 = 1,094,189,380/x
  3. Step 3: Cross multiply
    701,161,576x = 1,094,189,380 × 1,094,189,380
  4. Step 4: Simplify right side
    701,161,576x = 1,197,250,399,304,784,384
  5. Step 5: Solve for x
    x = 1,197,250,399,304,784,384/701,161,576
  6. Step 6: Final answer
    x = 1,707,524,257.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.