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Finding the Third Proportional to 633,972 and 1,381,672

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Solution

The third proportional to 633,972 and 1,381,672 is: 3,011,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,972 : 1,381,672 = 1,381,672 : x
  2. Step 2: Convert to fraction form
    633,972/1,381,672 = 1,381,672/x
  3. Step 3: Cross multiply
    633,972x = 1,381,672 × 1,381,672
  4. Step 4: Simplify right side
    633,972x = 1,909,017,515,584
  5. Step 5: Solve for x
    x = 1,909,017,515,584/633,972
  6. Step 6: Final answer
    x = 3,011,201.62

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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.