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Finding the Third Proportional to 828,328 and 1,792,064

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Solution

The third proportional to 828,328 and 1,792,064 is: 3,877,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,328 : 1,792,064 = 1,792,064 : x
  2. Step 2: Convert to fraction form
    828,328/1,792,064 = 1,792,064/x
  3. Step 3: Cross multiply
    828,328x = 1,792,064 × 1,792,064
  4. Step 4: Simplify right side
    828,328x = 3,211,493,380,096
  5. Step 5: Solve for x
    x = 3,211,493,380,096/828,328
  6. Step 6: Final answer
    x = 3,877,079.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.