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Finding the Third Proportional to 876,999.94 and 1,311,923.53

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Solution

The third proportional to 876,999.94 and 1,311,923.53 is: 1,962,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,999.94 : 1,311,923.53 = 1,311,923.53 : x
  2. Step 2: Convert to fraction form
    876,999.94/1,311,923.53 = 1,311,923.53/x
  3. Step 3: Cross multiply
    876,999.94x = 1,311,923.53 × 1,311,923.53
  4. Step 4: Simplify right side
    876,999.94x = 1,721,143,351,847.47
  5. Step 5: Solve for x
    x = 1,721,143,351,847.47/876,999.94
  6. Step 6: Final answer
    x = 1,962,535.32

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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.