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Finding the Third Proportional to 598,847 and 1,313,629

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Solution

The third proportional to 598,847 and 1,313,629 is: 2,881,572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,847 : 1,313,629 = 1,313,629 : x
  2. Step 2: Convert to fraction form
    598,847/1,313,629 = 1,313,629/x
  3. Step 3: Cross multiply
    598,847x = 1,313,629 × 1,313,629
  4. Step 4: Simplify right side
    598,847x = 1,725,621,149,641
  5. Step 5: Solve for x
    x = 1,725,621,149,641/598,847
  6. Step 6: Final answer
    x = 2,881,572.67

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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.