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Finding the Third Proportional to 714,928.78 and 1,089,141.19

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Solution

The third proportional to 714,928.78 and 1,089,141.19 is: 1,659,226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,928.78 : 1,089,141.19 = 1,089,141.19 : x
  2. Step 2: Convert to fraction form
    714,928.78/1,089,141.19 = 1,089,141.19/x
  3. Step 3: Cross multiply
    714,928.78x = 1,089,141.19 × 1,089,141.19
  4. Step 4: Simplify right side
    714,928.78x = 1,186,228,526,308.91
  5. Step 5: Solve for x
    x = 1,186,228,526,308.91/714,928.78
  6. Step 6: Final answer
    x = 1,659,226.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.