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Finding the Third Proportional to 633,344 and 1,328,128

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Solution

The third proportional to 633,344 and 1,328,128 is: 2,785,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,344 : 1,328,128 = 1,328,128 : x
  2. Step 2: Convert to fraction form
    633,344/1,328,128 = 1,328,128/x
  3. Step 3: Cross multiply
    633,344x = 1,328,128 × 1,328,128
  4. Step 4: Simplify right side
    633,344x = 1,763,923,984,384
  5. Step 5: Solve for x
    x = 1,763,923,984,384/633,344
  6. Step 6: Final answer
    x = 2,785,096.23

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.