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Finding the Third Proportional to 2,014,992 and 4,257,417

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Solution

The third proportional to 2,014,992 and 4,257,417 is: 8,995,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,992 : 4,257,417 = 4,257,417 : x
  2. Step 2: Convert to fraction form
    2,014,992/4,257,417 = 4,257,417/x
  3. Step 3: Cross multiply
    2,014,992x = 4,257,417 × 4,257,417
  4. Step 4: Simplify right side
    2,014,992x = 18,125,599,511,889
  5. Step 5: Solve for x
    x = 18,125,599,511,889/2,014,992
  6. Step 6: Final answer
    x = 8,995,370.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.