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Finding the Third Proportional to 804,912 and 1,089,270

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Solution

The third proportional to 804,912 and 1,089,270 is: 1,474,085.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,912 : 1,089,270 = 1,089,270 : x
  2. Step 2: Convert to fraction form
    804,912/1,089,270 = 1,089,270/x
  3. Step 3: Cross multiply
    804,912x = 1,089,270 × 1,089,270
  4. Step 4: Simplify right side
    804,912x = 1,186,509,132,900
  5. Step 5: Solve for x
    x = 1,186,509,132,900/804,912
  6. Step 6: Final answer
    x = 1,474,085.53

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.