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Finding the Third Proportional to 834,885 and 1,787,827

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Solution

The third proportional to 834,885 and 1,787,827 is: 3,828,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,885 : 1,787,827 = 1,787,827 : x
  2. Step 2: Convert to fraction form
    834,885/1,787,827 = 1,787,827/x
  3. Step 3: Cross multiply
    834,885x = 1,787,827 × 1,787,827
  4. Step 4: Simplify right side
    834,885x = 3,196,325,381,929
  5. Step 5: Solve for x
    x = 3,196,325,381,929/834,885
  6. Step 6: Final answer
    x = 3,828,461.86

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Why These Related Problems?

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