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Finding the Third Proportional to 2,734,330 and 5,984,142

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Solution

The third proportional to 2,734,330 and 5,984,142 is: 13,096,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734,330 : 5,984,142 = 5,984,142 : x
  2. Step 2: Convert to fraction form
    2,734,330/5,984,142 = 5,984,142/x
  3. Step 3: Cross multiply
    2,734,330x = 5,984,142 × 5,984,142
  4. Step 4: Simplify right side
    2,734,330x = 35,809,955,476,164
  5. Step 5: Solve for x
    x = 35,809,955,476,164/2,734,330
  6. Step 6: Final answer
    x = 13,096,427.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.