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Finding the Third Proportional to 461,172 and 993,496

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Solution

The third proportional to 461,172 and 993,496 is: 2,140,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,172 : 993,496 = 993,496 : x
  2. Step 2: Convert to fraction form
    461,172/993,496 = 993,496/x
  3. Step 3: Cross multiply
    461,172x = 993,496 × 993,496
  4. Step 4: Simplify right side
    461,172x = 987,034,302,016
  5. Step 5: Solve for x
    x = 987,034,302,016/461,172
  6. Step 6: Final answer
    x = 2,140,273.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.