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Finding the Third Proportional to 853,911 and 1,834,452

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Solution

The third proportional to 853,911 and 1,834,452 is: 3,940,942.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,911 : 1,834,452 = 1,834,452 : x
  2. Step 2: Convert to fraction form
    853,911/1,834,452 = 1,834,452/x
  3. Step 3: Cross multiply
    853,911x = 1,834,452 × 1,834,452
  4. Step 4: Simplify right side
    853,911x = 3,365,214,140,304
  5. Step 5: Solve for x
    x = 3,365,214,140,304/853,911
  6. Step 6: Final answer
    x = 3,940,942.49

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