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Finding the Third Proportional to 455,765 and 993,537

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Solution

The third proportional to 455,765 and 993,537 is: 2,165,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,765 : 993,537 = 993,537 : x
  2. Step 2: Convert to fraction form
    455,765/993,537 = 993,537/x
  3. Step 3: Cross multiply
    455,765x = 993,537 × 993,537
  4. Step 4: Simplify right side
    455,765x = 987,115,770,369
  5. Step 5: Solve for x
    x = 987,115,770,369/455,765
  6. Step 6: Final answer
    x = 2,165,843.74

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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.