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Finding the Third Proportional to 432,589 and 931,736

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Solution

The third proportional to 432,589 and 931,736 is: 2,006,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,589 : 931,736 = 931,736 : x
  2. Step 2: Convert to fraction form
    432,589/931,736 = 931,736/x
  3. Step 3: Cross multiply
    432,589x = 931,736 × 931,736
  4. Step 4: Simplify right side
    432,589x = 868,131,973,696
  5. Step 5: Solve for x
    x = 868,131,973,696/432,589
  6. Step 6: Final answer
    x = 2,006,828.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.