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Finding the Third Proportional to 703,612 and 1,090,170

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Solution

The third proportional to 703,612 and 1,090,170 is: 1,689,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,612 : 1,090,170 = 1,090,170 : x
  2. Step 2: Convert to fraction form
    703,612/1,090,170 = 1,090,170/x
  3. Step 3: Cross multiply
    703,612x = 1,090,170 × 1,090,170
  4. Step 4: Simplify right side
    703,612x = 1,188,470,628,900
  5. Step 5: Solve for x
    x = 1,188,470,628,900/703,612
  6. Step 6: Final answer
    x = 1,689,099.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.