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Finding the Third Proportional to 1,028,211 and 1,536,268

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Solution

The third proportional to 1,028,211 and 1,536,268 is: 2,295,364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,211 : 1,536,268 = 1,536,268 : x
  2. Step 2: Convert to fraction form
    1,028,211/1,536,268 = 1,536,268/x
  3. Step 3: Cross multiply
    1,028,211x = 1,536,268 × 1,536,268
  4. Step 4: Simplify right side
    1,028,211x = 2,360,119,367,824
  5. Step 5: Solve for x
    x = 2,360,119,367,824/1,028,211
  6. Step 6: Final answer
    x = 2,295,364.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.