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Finding the Third Proportional to 792,994.50 and 1,189,734.75

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Solution

The third proportional to 792,994.50 and 1,189,734.75 is: 1,784,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,994.50 : 1,189,734.75 = 1,189,734.75 : x
  2. Step 2: Convert to fraction form
    792,994.50/1,189,734.75 = 1,189,734.75/x
  3. Step 3: Cross multiply
    792,994.50x = 1,189,734.75 × 1,189,734.75
  4. Step 4: Simplify right side
    792,994.50x = 1,415,468,775,357.56
  5. Step 5: Solve for x
    x = 1,415,468,775,357.56/792,994.50
  6. Step 6: Final answer
    x = 1,784,966.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.