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Finding the Third Proportional to 2,211,473 and 4,823,122

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Solution

The third proportional to 2,211,473 and 4,823,122 is: 10,519,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211,473 : 4,823,122 = 4,823,122 : x
  2. Step 2: Convert to fraction form
    2,211,473/4,823,122 = 4,823,122/x
  3. Step 3: Cross multiply
    2,211,473x = 4,823,122 × 4,823,122
  4. Step 4: Simplify right side
    2,211,473x = 23,262,505,826,884
  5. Step 5: Solve for x
    x = 23,262,505,826,884/2,211,473
  6. Step 6: Final answer
    x = 10,519,009.65

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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.