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Finding the Third Proportional to 665,121.38 and 1,459,002.38

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Solution

The third proportional to 665,121.38 and 1,459,002.38 is: 3,200,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,121.38 : 1,459,002.38 = 1,459,002.38 : x
  2. Step 2: Convert to fraction form
    665,121.38/1,459,002.38 = 1,459,002.38/x
  3. Step 3: Cross multiply
    665,121.38x = 1,459,002.38 × 1,459,002.38
  4. Step 4: Simplify right side
    665,121.38x = 2,128,687,930,255.64
  5. Step 5: Solve for x
    x = 2,128,687,930,255.64/665,121.38
  6. Step 6: Final answer
    x = 3,200,450.34

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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.