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Finding the Third Proportional to 464,134 and 988,964

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Solution

The third proportional to 464,134 and 988,964 is: 2,107,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,134 : 988,964 = 988,964 : x
  2. Step 2: Convert to fraction form
    464,134/988,964 = 988,964/x
  3. Step 3: Cross multiply
    464,134x = 988,964 × 988,964
  4. Step 4: Simplify right side
    464,134x = 978,049,793,296
  5. Step 5: Solve for x
    x = 978,049,793,296/464,134
  6. Step 6: Final answer
    x = 2,107,257.37

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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.