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Finding the Third Proportional to 449,631 and 978,579

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Solution

The third proportional to 449,631 and 978,579 is: 2,129,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,631 : 978,579 = 978,579 : x
  2. Step 2: Convert to fraction form
    449,631/978,579 = 978,579/x
  3. Step 3: Cross multiply
    449,631x = 978,579 × 978,579
  4. Step 4: Simplify right side
    449,631x = 957,616,859,241
  5. Step 5: Solve for x
    x = 957,616,859,241/449,631
  6. Step 6: Final answer
    x = 2,129,783.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.