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Finding the Third Proportional to 834,887 and 1,787,831

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Solution

The third proportional to 834,887 and 1,787,831 is: 3,828,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,887 : 1,787,831 = 1,787,831 : x
  2. Step 2: Convert to fraction form
    834,887/1,787,831 = 1,787,831/x
  3. Step 3: Cross multiply
    834,887x = 1,787,831 × 1,787,831
  4. Step 4: Simplify right side
    834,887x = 3,196,339,684,561
  5. Step 5: Solve for x
    x = 3,196,339,684,561/834,887
  6. Step 6: Final answer
    x = 3,828,469.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.