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Finding the Third Proportional to 692,369.75 and 1,439,778.75

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Solution

The third proportional to 692,369.75 and 1,439,778.75 is: 2,994,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,369.75 : 1,439,778.75 = 1,439,778.75 : x
  2. Step 2: Convert to fraction form
    692,369.75/1,439,778.75 = 1,439,778.75/x
  3. Step 3: Cross multiply
    692,369.75x = 1,439,778.75 × 1,439,778.75
  4. Step 4: Simplify right side
    692,369.75x = 2,072,962,848,951.56
  5. Step 5: Solve for x
    x = 2,072,962,848,951.56/692,369.75
  6. Step 6: Final answer
    x = 2,994,011.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.