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Finding the Third Proportional to 2,886,238 and 6,274,841

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Solution

The third proportional to 2,886,238 and 6,274,841 is: 13,641,851.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886,238 : 6,274,841 = 6,274,841 : x
  2. Step 2: Convert to fraction form
    2,886,238/6,274,841 = 6,274,841/x
  3. Step 3: Cross multiply
    2,886,238x = 6,274,841 × 6,274,841
  4. Step 4: Simplify right side
    2,886,238x = 39,373,629,575,281
  5. Step 5: Solve for x
    x = 39,373,629,575,281/2,886,238
  6. Step 6: Final answer
    x = 13,641,851.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.