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Finding the Third Proportional to 1,293,936.19 and 2,029,966.31

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Solution

The third proportional to 1,293,936.19 and 2,029,966.31 is: 3,184,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,936.19 : 2,029,966.31 = 2,029,966.31 : x
  2. Step 2: Convert to fraction form
    1,293,936.19/2,029,966.31 = 2,029,966.31/x
  3. Step 3: Cross multiply
    1,293,936.19x = 2,029,966.31 × 2,029,966.31
  4. Step 4: Simplify right side
    1,293,936.19x = 4,120,763,229,884.85
  5. Step 5: Solve for x
    x = 4,120,763,229,884.85/1,293,936.19
  6. Step 6: Final answer
    x = 3,184,672.68

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.