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Finding the Third Proportional to 464,130 and 988,956

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Solution

The third proportional to 464,130 and 988,956 is: 2,107,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,130 : 988,956 = 988,956 : x
  2. Step 2: Convert to fraction form
    464,130/988,956 = 988,956/x
  3. Step 3: Cross multiply
    464,130x = 988,956 × 988,956
  4. Step 4: Simplify right side
    464,130x = 978,033,969,936
  5. Step 5: Solve for x
    x = 978,033,969,936/464,130
  6. Step 6: Final answer
    x = 2,107,241.44

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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.