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Finding the Third Proportional to 463,686 and 988,608

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Solution

The third proportional to 463,686 and 988,608 is: 2,107,775.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,686 : 988,608 = 988,608 : x
  2. Step 2: Convert to fraction form
    463,686/988,608 = 988,608/x
  3. Step 3: Cross multiply
    463,686x = 988,608 × 988,608
  4. Step 4: Simplify right side
    463,686x = 977,345,777,664
  5. Step 5: Solve for x
    x = 977,345,777,664/463,686
  6. Step 6: Final answer
    x = 2,107,775.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.