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Finding the Third Proportional to 432,676 and 946,918

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Solution

The third proportional to 432,676 and 946,918 is: 2,072,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,676 : 946,918 = 946,918 : x
  2. Step 2: Convert to fraction form
    432,676/946,918 = 946,918/x
  3. Step 3: Cross multiply
    432,676x = 946,918 × 946,918
  4. Step 4: Simplify right side
    432,676x = 896,653,698,724
  5. Step 5: Solve for x
    x = 896,653,698,724/432,676
  6. Step 6: Final answer
    x = 2,072,344.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.