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Finding the Third Proportional to 1,237,728 and 2,700,896

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Solution

The third proportional to 1,237,728 and 2,700,896 is: 5,893,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237,728 : 2,700,896 = 2,700,896 : x
  2. Step 2: Convert to fraction form
    1,237,728/2,700,896 = 2,700,896/x
  3. Step 3: Cross multiply
    1,237,728x = 2,700,896 × 2,700,896
  4. Step 4: Simplify right side
    1,237,728x = 7,294,839,202,816
  5. Step 5: Solve for x
    x = 7,294,839,202,816/1,237,728
  6. Step 6: Final answer
    x = 5,893,733.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.