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Finding the Third Proportional to 1,644,811 and 2,467,216

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Solution

The third proportional to 1,644,811 and 2,467,216 is: 3,700,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,811 : 2,467,216 = 2,467,216 : x
  2. Step 2: Convert to fraction form
    1,644,811/2,467,216 = 2,467,216/x
  3. Step 3: Cross multiply
    1,644,811x = 2,467,216 × 2,467,216
  4. Step 4: Simplify right side
    1,644,811x = 6,087,154,790,656
  5. Step 5: Solve for x
    x = 6,087,154,790,656/1,644,811
  6. Step 6: Final answer
    x = 3,700,823.25

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Why These Related Problems?

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