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Finding the Third Proportional to 819,109 and 1,282,141.50

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Solution

The third proportional to 819,109 and 1,282,141.50 is: 2,006,920.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,109 : 1,282,141.50 = 1,282,141.50 : x
  2. Step 2: Convert to fraction form
    819,109/1,282,141.50 = 1,282,141.50/x
  3. Step 3: Cross multiply
    819,109x = 1,282,141.50 × 1,282,141.50
  4. Step 4: Simplify right side
    819,109x = 1,643,886,826,022.25
  5. Step 5: Solve for x
    x = 1,643,886,826,022.25/819,109
  6. Step 6: Final answer
    x = 2,006,920.72

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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.