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Finding the Third Proportional to 432,761 and 941,714

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Solution

The third proportional to 432,761 and 941,714 is: 2,049,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,761 : 941,714 = 941,714 : x
  2. Step 2: Convert to fraction form
    432,761/941,714 = 941,714/x
  3. Step 3: Cross multiply
    432,761x = 941,714 × 941,714
  4. Step 4: Simplify right side
    432,761x = 886,825,257,796
  5. Step 5: Solve for x
    x = 886,825,257,796/432,761
  6. Step 6: Final answer
    x = 2,049,226.38

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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.