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Finding the Third Proportional to 1,396,399 and 2,135,211

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Solution

The third proportional to 1,396,399 and 2,135,211 is: 3,264,916.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396,399 : 2,135,211 = 2,135,211 : x
  2. Step 2: Convert to fraction form
    1,396,399/2,135,211 = 2,135,211/x
  3. Step 3: Cross multiply
    1,396,399x = 2,135,211 × 2,135,211
  4. Step 4: Simplify right side
    1,396,399x = 4,559,126,014,521
  5. Step 5: Solve for x
    x = 4,559,126,014,521/1,396,399
  6. Step 6: Final answer
    x = 3,264,916.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.