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Finding the Third Proportional to 1,293,342.82 and 2,720,667.87

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Solution

The third proportional to 1,293,342.82 and 2,720,667.87 is: 5,723,179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,342.82 : 2,720,667.87 = 2,720,667.87 : x
  2. Step 2: Convert to fraction form
    1,293,342.82/2,720,667.87 = 2,720,667.87/x
  3. Step 3: Cross multiply
    1,293,342.82x = 2,720,667.87 × 2,720,667.87
  4. Step 4: Simplify right side
    1,293,342.82x = 7,402,033,643,546.58
  5. Step 5: Solve for x
    x = 7,402,033,643,546.58/1,293,342.82
  6. Step 6: Final answer
    x = 5,723,179.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.