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Finding the Third Proportional to 464,912 and 982,048

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Solution

The third proportional to 464,912 and 982,048 is: 2,074,410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,912 : 982,048 = 982,048 : x
  2. Step 2: Convert to fraction form
    464,912/982,048 = 982,048/x
  3. Step 3: Cross multiply
    464,912x = 982,048 × 982,048
  4. Step 4: Simplify right side
    464,912x = 964,418,274,304
  5. Step 5: Solve for x
    x = 964,418,274,304/464,912
  6. Step 6: Final answer
    x = 2,074,410.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.