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Finding the Third Proportional to 665,601.75 and 1,457,901

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Solution

The third proportional to 665,601.75 and 1,457,901 is: 3,193,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,601.75 : 1,457,901 = 1,457,901 : x
  2. Step 2: Convert to fraction form
    665,601.75/1,457,901 = 1,457,901/x
  3. Step 3: Cross multiply
    665,601.75x = 1,457,901 × 1,457,901
  4. Step 4: Simplify right side
    665,601.75x = 2,125,475,325,801
  5. Step 5: Solve for x
    x = 2,125,475,325,801/665,601.75
  6. Step 6: Final answer
    x = 3,193,313.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.