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Finding the Third Proportional to 840,574 and 1,257,891

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Solution

The third proportional to 840,574 and 1,257,891 is: 1,882,391.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,574 : 1,257,891 = 1,257,891 : x
  2. Step 2: Convert to fraction form
    840,574/1,257,891 = 1,257,891/x
  3. Step 3: Cross multiply
    840,574x = 1,257,891 × 1,257,891
  4. Step 4: Simplify right side
    840,574x = 1,582,289,767,881
  5. Step 5: Solve for x
    x = 1,582,289,767,881/840,574
  6. Step 6: Final answer
    x = 1,882,391.99

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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.