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Finding the Third Proportional to 843,766 and 1,847,804

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Solution

The third proportional to 843,766 and 1,847,804 is: 4,046,595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,766 : 1,847,804 = 1,847,804 : x
  2. Step 2: Convert to fraction form
    843,766/1,847,804 = 1,847,804/x
  3. Step 3: Cross multiply
    843,766x = 1,847,804 × 1,847,804
  4. Step 4: Simplify right side
    843,766x = 3,414,379,622,416
  5. Step 5: Solve for x
    x = 3,414,379,622,416/843,766
  6. Step 6: Final answer
    x = 4,046,595.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.