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Finding the Third Proportional to 1,086,266.50 and 1,643,380.75

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Solution

The third proportional to 1,086,266.50 and 1,643,380.75 is: 2,486,222.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,266.50 : 1,643,380.75 = 1,643,380.75 : x
  2. Step 2: Convert to fraction form
    1,086,266.50/1,643,380.75 = 1,643,380.75/x
  3. Step 3: Cross multiply
    1,086,266.50x = 1,643,380.75 × 1,643,380.75
  4. Step 4: Simplify right side
    1,086,266.50x = 2,700,700,289,470.56
  5. Step 5: Solve for x
    x = 2,700,700,289,470.56/1,086,266.50
  6. Step 6: Final answer
    x = 2,486,222.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.