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Finding the Third Proportional to 432,855 and 959,121

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Solution

The third proportional to 432,855 and 959,121 is: 2,125,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,855 : 959,121 = 959,121 : x
  2. Step 2: Convert to fraction form
    432,855/959,121 = 959,121/x
  3. Step 3: Cross multiply
    432,855x = 959,121 × 959,121
  4. Step 4: Simplify right side
    432,855x = 919,913,092,641
  5. Step 5: Solve for x
    x = 919,913,092,641/432,855
  6. Step 6: Final answer
    x = 2,125,222.29

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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.