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Finding the Third Proportional to 4,328,109 and 6,754,194

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Solution

The third proportional to 4,328,109 and 6,754,194 is: 10,540,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328,109 : 6,754,194 = 6,754,194 : x
  2. Step 2: Convert to fraction form
    4,328,109/6,754,194 = 6,754,194/x
  3. Step 3: Cross multiply
    4,328,109x = 6,754,194 × 6,754,194
  4. Step 4: Simplify right side
    4,328,109x = 45,619,136,589,636
  5. Step 5: Solve for x
    x = 45,619,136,589,636/4,328,109
  6. Step 6: Final answer
    x = 10,540,200.49

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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.