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Finding the Third Proportional to 1,296,288 and 2,028,864

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Solution

The third proportional to 1,296,288 and 2,028,864 is: 3,175,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,288 : 2,028,864 = 2,028,864 : x
  2. Step 2: Convert to fraction form
    1,296,288/2,028,864 = 2,028,864/x
  3. Step 3: Cross multiply
    1,296,288x = 2,028,864 × 2,028,864
  4. Step 4: Simplify right side
    1,296,288x = 4,116,289,130,496
  5. Step 5: Solve for x
    x = 4,116,289,130,496/1,296,288
  6. Step 6: Final answer
    x = 3,175,443.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.