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Finding the Third Proportional to 2,305,886 and 3,466,212

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Solution

The third proportional to 2,305,886 and 3,466,212 is: 5,210,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,886 : 3,466,212 = 3,466,212 : x
  2. Step 2: Convert to fraction form
    2,305,886/3,466,212 = 3,466,212/x
  3. Step 3: Cross multiply
    2,305,886x = 3,466,212 × 3,466,212
  4. Step 4: Simplify right side
    2,305,886x = 12,014,625,628,944
  5. Step 5: Solve for x
    x = 12,014,625,628,944/2,305,886
  6. Step 6: Final answer
    x = 5,210,416.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.