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Finding the Third Proportional to 802,905.75 and 1,089,905.63

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Solution

The third proportional to 802,905.75 and 1,089,905.63 is: 1,479,494.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,905.75 : 1,089,905.63 = 1,089,905.63 : x
  2. Step 2: Convert to fraction form
    802,905.75/1,089,905.63 = 1,089,905.63/x
  3. Step 3: Cross multiply
    802,905.75x = 1,089,905.63 × 1,089,905.63
  4. Step 4: Simplify right side
    802,905.75x = 1,187,894,271,406.64
  5. Step 5: Solve for x
    x = 1,187,894,271,406.64/802,905.75
  6. Step 6: Final answer
    x = 1,479,494.04

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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.