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Finding the Third Proportional to 843,160 and 1,827,404

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Solution

The third proportional to 843,160 and 1,827,404 is: 3,960,583.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,160 : 1,827,404 = 1,827,404 : x
  2. Step 2: Convert to fraction form
    843,160/1,827,404 = 1,827,404/x
  3. Step 3: Cross multiply
    843,160x = 1,827,404 × 1,827,404
  4. Step 4: Simplify right side
    843,160x = 3,339,405,379,216
  5. Step 5: Solve for x
    x = 3,339,405,379,216/843,160
  6. Step 6: Final answer
    x = 3,960,583.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.