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Finding the Third Proportional to 819,091.93 and 1,282,114.20

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Solution

The third proportional to 819,091.93 and 1,282,114.20 is: 2,006,877.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,091.93 : 1,282,114.20 = 1,282,114.20 : x
  2. Step 2: Convert to fraction form
    819,091.93/1,282,114.20 = 1,282,114.20/x
  3. Step 3: Cross multiply
    819,091.93x = 1,282,114.20 × 1,282,114.20
  4. Step 4: Simplify right side
    819,091.93x = 1,643,816,809,821.82
  5. Step 5: Solve for x
    x = 1,643,816,809,821.82/819,091.93
  6. Step 6: Final answer
    x = 2,006,877.06

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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.