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Finding the Third Proportional to 431,973 and 959,823

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Solution

The third proportional to 431,973 and 959,823 is: 2,132,680.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,973 : 959,823 = 959,823 : x
  2. Step 2: Convert to fraction form
    431,973/959,823 = 959,823/x
  3. Step 3: Cross multiply
    431,973x = 959,823 × 959,823
  4. Step 4: Simplify right side
    431,973x = 921,260,191,329
  5. Step 5: Solve for x
    x = 921,260,191,329/431,973
  6. Step 6: Final answer
    x = 2,132,680.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.