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Finding the Third Proportional to 455,522 and 996,849

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Solution

The third proportional to 455,522 and 996,849 is: 2,181,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,522 : 996,849 = 996,849 : x
  2. Step 2: Convert to fraction form
    455,522/996,849 = 996,849/x
  3. Step 3: Cross multiply
    455,522x = 996,849 × 996,849
  4. Step 4: Simplify right side
    455,522x = 993,707,928,801
  5. Step 5: Solve for x
    x = 993,707,928,801/455,522
  6. Step 6: Final answer
    x = 2,181,470.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.