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Finding the Third Proportional to 851,786 and 1,876,405

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Solution

The third proportional to 851,786 and 1,876,405 is: 4,133,544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,786 : 1,876,405 = 1,876,405 : x
  2. Step 2: Convert to fraction form
    851,786/1,876,405 = 1,876,405/x
  3. Step 3: Cross multiply
    851,786x = 1,876,405 × 1,876,405
  4. Step 4: Simplify right side
    851,786x = 3,520,895,724,025
  5. Step 5: Solve for x
    x = 3,520,895,724,025/851,786
  6. Step 6: Final answer
    x = 4,133,544.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.