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Finding the Third Proportional to 985,954 and 2,018,634

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Solution

The third proportional to 985,954 and 2,018,634 is: 4,132,934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,954 : 2,018,634 = 2,018,634 : x
  2. Step 2: Convert to fraction form
    985,954/2,018,634 = 2,018,634/x
  3. Step 3: Cross multiply
    985,954x = 2,018,634 × 2,018,634
  4. Step 4: Simplify right side
    985,954x = 4,074,883,225,956
  5. Step 5: Solve for x
    x = 4,074,883,225,956/985,954
  6. Step 6: Final answer
    x = 4,132,934.42

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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.