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Finding the Third Proportional to 638,149 and 987,996

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Solution

The third proportional to 638,149 and 987,996 is: 1,529,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,149 : 987,996 = 987,996 : x
  2. Step 2: Convert to fraction form
    638,149/987,996 = 987,996/x
  3. Step 3: Cross multiply
    638,149x = 987,996 × 987,996
  4. Step 4: Simplify right side
    638,149x = 976,136,096,016
  5. Step 5: Solve for x
    x = 976,136,096,016/638,149
  6. Step 6: Final answer
    x = 1,529,636.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.