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Finding the Third Proportional to 1,461,939 and 2,192,910

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Solution

The third proportional to 1,461,939 and 2,192,910 is: 3,289,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,939 : 2,192,910 = 2,192,910 : x
  2. Step 2: Convert to fraction form
    1,461,939/2,192,910 = 2,192,910/x
  3. Step 3: Cross multiply
    1,461,939x = 2,192,910 × 2,192,910
  4. Step 4: Simplify right side
    1,461,939x = 4,808,854,268,100
  5. Step 5: Solve for x
    x = 4,808,854,268,100/1,461,939
  6. Step 6: Final answer
    x = 3,289,367.25

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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.