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Finding the Third Proportional to 853,868 and 1,834,371

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Solution

The third proportional to 853,868 and 1,834,371 is: 3,940,792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,868 : 1,834,371 = 1,834,371 : x
  2. Step 2: Convert to fraction form
    853,868/1,834,371 = 1,834,371/x
  3. Step 3: Cross multiply
    853,868x = 1,834,371 × 1,834,371
  4. Step 4: Simplify right side
    853,868x = 3,364,916,965,641
  5. Step 5: Solve for x
    x = 3,364,916,965,641/853,868
  6. Step 6: Final answer
    x = 3,940,792.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.