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Finding the Third Proportional to 432,858 and 959,127

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Solution

The third proportional to 432,858 and 959,127 is: 2,125,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,858 : 959,127 = 959,127 : x
  2. Step 2: Convert to fraction form
    432,858/959,127 = 959,127/x
  3. Step 3: Cross multiply
    432,858x = 959,127 × 959,127
  4. Step 4: Simplify right side
    432,858x = 919,924,602,129
  5. Step 5: Solve for x
    x = 919,924,602,129/432,858
  6. Step 6: Final answer
    x = 2,125,234.15

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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.