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Finding the Third Proportional to 747,286.50 and 1,189,653

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Solution

The third proportional to 747,286.50 and 1,189,653 is: 1,893,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,286.50 : 1,189,653 = 1,189,653 : x
  2. Step 2: Convert to fraction form
    747,286.50/1,189,653 = 1,189,653/x
  3. Step 3: Cross multiply
    747,286.50x = 1,189,653 × 1,189,653
  4. Step 4: Simplify right side
    747,286.50x = 1,415,274,260,409
  5. Step 5: Solve for x
    x = 1,415,274,260,409/747,286.50
  6. Step 6: Final answer
    x = 1,893,884.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.