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Finding the Third Proportional to 946,954 and 2,034,452

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Solution

The third proportional to 946,954 and 2,034,452 is: 4,370,851.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,954 : 2,034,452 = 2,034,452 : x
  2. Step 2: Convert to fraction form
    946,954/2,034,452 = 2,034,452/x
  3. Step 3: Cross multiply
    946,954x = 2,034,452 × 2,034,452
  4. Step 4: Simplify right side
    946,954x = 4,138,994,940,304
  5. Step 5: Solve for x
    x = 4,138,994,940,304/946,954
  6. Step 6: Final answer
    x = 4,370,851.11

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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.