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Finding the Third Proportional to 505,160 and 1,089,024

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Solution

The third proportional to 505,160 and 1,089,024 is: 2,347,718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,160 : 1,089,024 = 1,089,024 : x
  2. Step 2: Convert to fraction form
    505,160/1,089,024 = 1,089,024/x
  3. Step 3: Cross multiply
    505,160x = 1,089,024 × 1,089,024
  4. Step 4: Simplify right side
    505,160x = 1,185,973,272,576
  5. Step 5: Solve for x
    x = 1,185,973,272,576/505,160
  6. Step 6: Final answer
    x = 2,347,718.09

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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.