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Finding the Third Proportional to 2,212,458 and 4,814,271

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Solution

The third proportional to 2,212,458 and 4,814,271 is: 10,475,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212,458 : 4,814,271 = 4,814,271 : x
  2. Step 2: Convert to fraction form
    2,212,458/4,814,271 = 4,814,271/x
  3. Step 3: Cross multiply
    2,212,458x = 4,814,271 × 4,814,271
  4. Step 4: Simplify right side
    2,212,458x = 23,177,205,261,441
  5. Step 5: Solve for x
    x = 23,177,205,261,441/2,212,458
  6. Step 6: Final answer
    x = 10,475,771.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.