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Finding the Third Proportional to 738,606 and 1,606,619

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Solution

The third proportional to 738,606 and 1,606,619 is: 3,494,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,606 : 1,606,619 = 1,606,619 : x
  2. Step 2: Convert to fraction form
    738,606/1,606,619 = 1,606,619/x
  3. Step 3: Cross multiply
    738,606x = 1,606,619 × 1,606,619
  4. Step 4: Simplify right side
    738,606x = 2,581,224,611,161
  5. Step 5: Solve for x
    x = 2,581,224,611,161/738,606
  6. Step 6: Final answer
    x = 3,494,724.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.