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Finding the Third Proportional to 432,870 and 939,672

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Solution

The third proportional to 432,870 and 939,672 is: 2,039,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,870 : 939,672 = 939,672 : x
  2. Step 2: Convert to fraction form
    432,870/939,672 = 939,672/x
  3. Step 3: Cross multiply
    432,870x = 939,672 × 939,672
  4. Step 4: Simplify right side
    432,870x = 882,983,467,584
  5. Step 5: Solve for x
    x = 882,983,467,584/432,870
  6. Step 6: Final answer
    x = 2,039,835.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.