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Finding the Third Proportional to 1,028,960 and 1,609,296

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Solution

The third proportional to 1,028,960 and 1,609,296 is: 2,516,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,960 : 1,609,296 = 1,609,296 : x
  2. Step 2: Convert to fraction form
    1,028,960/1,609,296 = 1,609,296/x
  3. Step 3: Cross multiply
    1,028,960x = 1,609,296 × 1,609,296
  4. Step 4: Simplify right side
    1,028,960x = 2,589,833,615,616
  5. Step 5: Solve for x
    x = 2,589,833,615,616/1,028,960
  6. Step 6: Final answer
    x = 2,516,942.95

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.