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Finding the Third Proportional to 2,014,994 and 4,257,421

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Solution

The third proportional to 2,014,994 and 4,257,421 is: 8,995,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,994 : 4,257,421 = 4,257,421 : x
  2. Step 2: Convert to fraction form
    2,014,994/4,257,421 = 4,257,421/x
  3. Step 3: Cross multiply
    2,014,994x = 4,257,421 × 4,257,421
  4. Step 4: Simplify right side
    2,014,994x = 18,125,633,571,241
  5. Step 5: Solve for x
    x = 18,125,633,571,241/2,014,994
  6. Step 6: Final answer
    x = 8,995,378.43

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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.