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Finding the Third Proportional to 840,606 and 1,257,939

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Solution

The third proportional to 840,606 and 1,257,939 is: 1,882,463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,606 : 1,257,939 = 1,257,939 : x
  2. Step 2: Convert to fraction form
    840,606/1,257,939 = 1,257,939/x
  3. Step 3: Cross multiply
    840,606x = 1,257,939 × 1,257,939
  4. Step 4: Simplify right side
    840,606x = 1,582,410,527,721
  5. Step 5: Solve for x
    x = 1,582,410,527,721/840,606
  6. Step 6: Final answer
    x = 1,882,463.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.