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Finding the Third Proportional to 849,676 and 1,853,936

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Solution

The third proportional to 849,676 and 1,853,936 is: 4,045,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,676 : 1,853,936 = 1,853,936 : x
  2. Step 2: Convert to fraction form
    849,676/1,853,936 = 1,853,936/x
  3. Step 3: Cross multiply
    849,676x = 1,853,936 × 1,853,936
  4. Step 4: Simplify right side
    849,676x = 3,437,078,692,096
  5. Step 5: Solve for x
    x = 3,437,078,692,096/849,676
  6. Step 6: Final answer
    x = 4,045,163.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.