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Finding the Third Proportional to 464,136 and 988,968

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Solution

The third proportional to 464,136 and 988,968 is: 2,107,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,136 : 988,968 = 988,968 : x
  2. Step 2: Convert to fraction form
    464,136/988,968 = 988,968/x
  3. Step 3: Cross multiply
    464,136x = 988,968 × 988,968
  4. Step 4: Simplify right side
    464,136x = 978,057,705,024
  5. Step 5: Solve for x
    x = 978,057,705,024/464,136
  6. Step 6: Final answer
    x = 2,107,265.34

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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.