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Finding the Third Proportional to 1,247,739.75 and 1,863,293.63

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Solution

The third proportional to 1,247,739.75 and 1,863,293.63 is: 2,782,521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,739.75 : 1,863,293.63 = 1,863,293.63 : x
  2. Step 2: Convert to fraction form
    1,247,739.75/1,863,293.63 = 1,863,293.63/x
  3. Step 3: Cross multiply
    1,247,739.75x = 1,863,293.63 × 1,863,293.63
  4. Step 4: Simplify right side
    1,247,739.75x = 3,471,863,132,965.64
  5. Step 5: Solve for x
    x = 3,471,863,132,965.64/1,247,739.75
  6. Step 6: Final answer
    x = 2,782,521.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.