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Finding the Third Proportional to 455,762 and 993,531

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Solution

The third proportional to 455,762 and 993,531 is: 2,165,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,762 : 993,531 = 993,531 : x
  2. Step 2: Convert to fraction form
    455,762/993,531 = 993,531/x
  3. Step 3: Cross multiply
    455,762x = 993,531 × 993,531
  4. Step 4: Simplify right side
    455,762x = 987,103,847,961
  5. Step 5: Solve for x
    x = 987,103,847,961/455,762
  6. Step 6: Final answer
    x = 2,165,831.83

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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.