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Finding the Third Proportional to 747,676 and 1,640,102

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Solution

The third proportional to 747,676 and 1,640,102 is: 3,597,727.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,676 : 1,640,102 = 1,640,102 : x
  2. Step 2: Convert to fraction form
    747,676/1,640,102 = 1,640,102/x
  3. Step 3: Cross multiply
    747,676x = 1,640,102 × 1,640,102
  4. Step 4: Simplify right side
    747,676x = 2,689,934,570,404
  5. Step 5: Solve for x
    x = 2,689,934,570,404/747,676
  6. Step 6: Final answer
    x = 3,597,727.59

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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.