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Finding the Third Proportional to 1,215,174 and 2,659,200

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Solution

The third proportional to 1,215,174 and 2,659,200 is: 5,819,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,174 : 2,659,200 = 2,659,200 : x
  2. Step 2: Convert to fraction form
    1,215,174/2,659,200 = 2,659,200/x
  3. Step 3: Cross multiply
    1,215,174x = 2,659,200 × 2,659,200
  4. Step 4: Simplify right side
    1,215,174x = 7,071,344,640,000
  5. Step 5: Solve for x
    x = 7,071,344,640,000/1,215,174
  6. Step 6: Final answer
    x = 5,819,203.37

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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.