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Finding the Third Proportional to 1,200,760 and 1,857,250.50

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Solution

The third proportional to 1,200,760 and 1,857,250.50 is: 2,872,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,760 : 1,857,250.50 = 1,857,250.50 : x
  2. Step 2: Convert to fraction form
    1,200,760/1,857,250.50 = 1,857,250.50/x
  3. Step 3: Cross multiply
    1,200,760x = 1,857,250.50 × 1,857,250.50
  4. Step 4: Simplify right side
    1,200,760x = 3,449,379,419,750.25
  5. Step 5: Solve for x
    x = 3,449,379,419,750.25/1,200,760
  6. Step 6: Final answer
    x = 2,872,663.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.