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Finding the Third Proportional to 809,020.48 and 1,348,207.41

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Solution

The third proportional to 809,020.48 and 1,348,207.41 is: 2,246,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,020.48 : 1,348,207.41 = 1,348,207.41 : x
  2. Step 2: Convert to fraction form
    809,020.48/1,348,207.41 = 1,348,207.41/x
  3. Step 3: Cross multiply
    809,020.48x = 1,348,207.41 × 1,348,207.41
  4. Step 4: Simplify right side
    809,020.48x = 1,817,663,225,573.01
  5. Step 5: Solve for x
    x = 1,817,663,225,573.01/809,020.48
  6. Step 6: Final answer
    x = 2,246,745.64

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.