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Finding the Third Proportional to 985,874 and 2,018,368

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Solution

The third proportional to 985,874 and 2,018,368 is: 4,132,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,874 : 2,018,368 = 2,018,368 : x
  2. Step 2: Convert to fraction form
    985,874/2,018,368 = 2,018,368/x
  3. Step 3: Cross multiply
    985,874x = 2,018,368 × 2,018,368
  4. Step 4: Simplify right side
    985,874x = 4,073,809,383,424
  5. Step 5: Solve for x
    x = 4,073,809,383,424/985,874
  6. Step 6: Final answer
    x = 4,132,180.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.