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Finding the Third Proportional to 856,687.50 and 1,285,195.50

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Solution

The third proportional to 856,687.50 and 1,285,195.50 is: 1,928,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,687.50 : 1,285,195.50 = 1,285,195.50 : x
  2. Step 2: Convert to fraction form
    856,687.50/1,285,195.50 = 1,285,195.50/x
  3. Step 3: Cross multiply
    856,687.50x = 1,285,195.50 × 1,285,195.50
  4. Step 4: Simplify right side
    856,687.50x = 1,651,727,473,220.25
  5. Step 5: Solve for x
    x = 1,651,727,473,220.25/856,687.50
  6. Step 6: Final answer
    x = 1,928,039.66

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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.