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Finding the Third Proportional to 828,954 and 1,280,064

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Solution

The third proportional to 828,954 and 1,280,064 is: 1,976,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,954 : 1,280,064 = 1,280,064 : x
  2. Step 2: Convert to fraction form
    828,954/1,280,064 = 1,280,064/x
  3. Step 3: Cross multiply
    828,954x = 1,280,064 × 1,280,064
  4. Step 4: Simplify right side
    828,954x = 1,638,563,844,096
  5. Step 5: Solve for x
    x = 1,638,563,844,096/828,954
  6. Step 6: Final answer
    x = 1,976,664.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.