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Finding the Third Proportional to 455,884 and 992,039

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Solution

The third proportional to 455,884 and 992,039 is: 2,158,753.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,884 : 992,039 = 992,039 : x
  2. Step 2: Convert to fraction form
    455,884/992,039 = 992,039/x
  3. Step 3: Cross multiply
    455,884x = 992,039 × 992,039
  4. Step 4: Simplify right side
    455,884x = 984,141,377,521
  5. Step 5: Solve for x
    x = 984,141,377,521/455,884
  6. Step 6: Final answer
    x = 2,158,753.93

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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.