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Finding the Third Proportional to 757,026.63 and 1,667,672.93

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Solution

The third proportional to 757,026.63 and 1,667,672.93 is: 3,673,758.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,026.63 : 1,667,672.93 = 1,667,672.93 : x
  2. Step 2: Convert to fraction form
    757,026.63/1,667,672.93 = 1,667,672.93/x
  3. Step 3: Cross multiply
    757,026.63x = 1,667,672.93 × 1,667,672.93
  4. Step 4: Simplify right side
    757,026.63x = 2,781,133,000,412.16
  5. Step 5: Solve for x
    x = 2,781,133,000,412.16/757,026.63
  6. Step 6: Final answer
    x = 3,673,758.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.