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Finding the Third Proportional to 455,859 and 991,989

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Solution

The third proportional to 455,859 and 991,989 is: 2,158,654.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,859 : 991,989 = 991,989 : x
  2. Step 2: Convert to fraction form
    455,859/991,989 = 991,989/x
  3. Step 3: Cross multiply
    455,859x = 991,989 × 991,989
  4. Step 4: Simplify right side
    455,859x = 984,042,176,121
  5. Step 5: Solve for x
    x = 984,042,176,121/455,859
  6. Step 6: Final answer
    x = 2,158,654.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.