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Finding the Third Proportional to 432,725 and 941,647

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Solution

The third proportional to 432,725 and 941,647 is: 2,049,105.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,725 : 941,647 = 941,647 : x
  2. Step 2: Convert to fraction form
    432,725/941,647 = 941,647/x
  3. Step 3: Cross multiply
    432,725x = 941,647 × 941,647
  4. Step 4: Simplify right side
    432,725x = 886,699,072,609
  5. Step 5: Solve for x
    x = 886,699,072,609/432,725
  6. Step 6: Final answer
    x = 2,049,105.26

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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.