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Finding the Third Proportional to 2,014,993 and 4,257,419

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Solution

The third proportional to 2,014,993 and 4,257,419 is: 8,995,374.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,993 : 4,257,419 = 4,257,419 : x
  2. Step 2: Convert to fraction form
    2,014,993/4,257,419 = 4,257,419/x
  3. Step 3: Cross multiply
    2,014,993x = 4,257,419 × 4,257,419
  4. Step 4: Simplify right side
    2,014,993x = 18,125,616,541,561
  5. Step 5: Solve for x
    x = 18,125,616,541,561/2,014,993
  6. Step 6: Final answer
    x = 8,995,374.45

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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.