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Finding the Third Proportional to 811,661 and 1,285,176

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Solution

The third proportional to 811,661 and 1,285,176 is: 2,034,934.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,661 : 1,285,176 = 1,285,176 : x
  2. Step 2: Convert to fraction form
    811,661/1,285,176 = 1,285,176/x
  3. Step 3: Cross multiply
    811,661x = 1,285,176 × 1,285,176
  4. Step 4: Simplify right side
    811,661x = 1,651,677,350,976
  5. Step 5: Solve for x
    x = 1,651,677,350,976/811,661
  6. Step 6: Final answer
    x = 2,034,934.97

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.