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Finding the Third Proportional to 675,936 and 1,484,064

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Solution

The third proportional to 675,936 and 1,484,064 is: 3,258,364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,936 : 1,484,064 = 1,484,064 : x
  2. Step 2: Convert to fraction form
    675,936/1,484,064 = 1,484,064/x
  3. Step 3: Cross multiply
    675,936x = 1,484,064 × 1,484,064
  4. Step 4: Simplify right side
    675,936x = 2,202,445,956,096
  5. Step 5: Solve for x
    x = 2,202,445,956,096/675,936
  6. Step 6: Final answer
    x = 3,258,364.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.