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Finding the Third Proportional to 724,144 and 1,012,876

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Solution

The third proportional to 724,144 and 1,012,876 is: 1,416,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,144 : 1,012,876 = 1,012,876 : x
  2. Step 2: Convert to fraction form
    724,144/1,012,876 = 1,012,876/x
  3. Step 3: Cross multiply
    724,144x = 1,012,876 × 1,012,876
  4. Step 4: Simplify right side
    724,144x = 1,025,917,791,376
  5. Step 5: Solve for x
    x = 1,025,917,791,376/724,144
  6. Step 6: Final answer
    x = 1,416,731.74

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.