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Finding the Third Proportional to 819,118 and 1,282,148

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Solution

The third proportional to 819,118 and 1,282,148 is: 2,006,919.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,118 : 1,282,148 = 1,282,148 : x
  2. Step 2: Convert to fraction form
    819,118/1,282,148 = 1,282,148/x
  3. Step 3: Cross multiply
    819,118x = 1,282,148 × 1,282,148
  4. Step 4: Simplify right side
    819,118x = 1,643,903,493,904
  5. Step 5: Solve for x
    x = 1,643,903,493,904/819,118
  6. Step 6: Final answer
    x = 2,006,919.02

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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.