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Finding the Third Proportional to 996,817 and 2,124,121

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Solution

The third proportional to 996,817 and 2,124,121 is: 4,526,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,817 : 2,124,121 = 2,124,121 : x
  2. Step 2: Convert to fraction form
    996,817/2,124,121 = 2,124,121/x
  3. Step 3: Cross multiply
    996,817x = 2,124,121 × 2,124,121
  4. Step 4: Simplify right side
    996,817x = 4,511,890,022,641
  5. Step 5: Solve for x
    x = 4,511,890,022,641/996,817
  6. Step 6: Final answer
    x = 4,526,297.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.