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Finding the Third Proportional to 986,847 and 2,051,261

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Solution

The third proportional to 986,847 and 2,051,261 is: 4,263,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,847 : 2,051,261 = 2,051,261 : x
  2. Step 2: Convert to fraction form
    986,847/2,051,261 = 2,051,261/x
  3. Step 3: Cross multiply
    986,847x = 2,051,261 × 2,051,261
  4. Step 4: Simplify right side
    986,847x = 4,207,671,690,121
  5. Step 5: Solve for x
    x = 4,207,671,690,121/986,847
  6. Step 6: Final answer
    x = 4,263,752.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.