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Finding the Third Proportional to 965,571.89 and 1,460,786.91

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Solution

The third proportional to 965,571.89 and 1,460,786.91 is: 2,209,983.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,571.89 : 1,460,786.91 = 1,460,786.91 : x
  2. Step 2: Convert to fraction form
    965,571.89/1,460,786.91 = 1,460,786.91/x
  3. Step 3: Cross multiply
    965,571.89x = 1,460,786.91 × 1,460,786.91
  4. Step 4: Simplify right side
    965,571.89x = 2,133,898,385,471.45
  5. Step 5: Solve for x
    x = 2,133,898,385,471.45/965,571.89
  6. Step 6: Final answer
    x = 2,209,983.95

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