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Finding the Third Proportional to 989,714 and 2,206,876

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Solution

The third proportional to 989,714 and 2,206,876 is: 4,920,918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,714 : 2,206,876 = 2,206,876 : x
  2. Step 2: Convert to fraction form
    989,714/2,206,876 = 2,206,876/x
  3. Step 3: Cross multiply
    989,714x = 2,206,876 × 2,206,876
  4. Step 4: Simplify right side
    989,714x = 4,870,301,679,376
  5. Step 5: Solve for x
    x = 4,870,301,679,376/989,714
  6. Step 6: Final answer
    x = 4,920,918.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.