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Finding the Third Proportional to 694,440.84 and 991,146.69

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Solution

The third proportional to 694,440.84 and 991,146.69 is: 1,414,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,440.84 : 991,146.69 = 991,146.69 : x
  2. Step 2: Convert to fraction form
    694,440.84/991,146.69 = 991,146.69/x
  3. Step 3: Cross multiply
    694,440.84x = 991,146.69 × 991,146.69
  4. Step 4: Simplify right side
    694,440.84x = 982,371,763,885.56
  5. Step 5: Solve for x
    x = 982,371,763,885.56/694,440.84
  6. Step 6: Final answer
    x = 1,414,622.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.