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Finding the Third Proportional to 845,824 and 1,152,064

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Solution

The third proportional to 845,824 and 1,152,064 is: 1,569,181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,824 : 1,152,064 = 1,152,064 : x
  2. Step 2: Convert to fraction form
    845,824/1,152,064 = 1,152,064/x
  3. Step 3: Cross multiply
    845,824x = 1,152,064 × 1,152,064
  4. Step 4: Simplify right side
    845,824x = 1,327,251,460,096
  5. Step 5: Solve for x
    x = 1,327,251,460,096/845,824
  6. Step 6: Final answer
    x = 1,569,181.60

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.