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Finding the Third Proportional to 766,553.63 and 1,667,334.38

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Solution

The third proportional to 766,553.63 and 1,667,334.38 is: 3,626,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,553.63 : 1,667,334.38 = 1,667,334.38 : x
  2. Step 2: Convert to fraction form
    766,553.63/1,667,334.38 = 1,667,334.38/x
  3. Step 3: Cross multiply
    766,553.63x = 1,667,334.38 × 1,667,334.38
  4. Step 4: Simplify right side
    766,553.63x = 2,780,003,918,056.64
  5. Step 5: Solve for x
    x = 2,780,003,918,056.64/766,553.63
  6. Step 6: Final answer
    x = 3,626,626.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.