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Finding the Third Proportional to 819,120.75 and 1,282,146

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Solution

The third proportional to 819,120.75 and 1,282,146 is: 2,006,906.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,120.75 : 1,282,146 = 1,282,146 : x
  2. Step 2: Convert to fraction form
    819,120.75/1,282,146 = 1,282,146/x
  3. Step 3: Cross multiply
    819,120.75x = 1,282,146 × 1,282,146
  4. Step 4: Simplify right side
    819,120.75x = 1,643,898,365,316
  5. Step 5: Solve for x
    x = 1,643,898,365,316/819,120.75
  6. Step 6: Final answer
    x = 2,006,906.02

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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.