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Finding the Third Proportional to 432,873 and 939,675

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Solution

The third proportional to 432,873 and 939,675 is: 2,039,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,873 : 939,675 = 939,675 : x
  2. Step 2: Convert to fraction form
    432,873/939,675 = 939,675/x
  3. Step 3: Cross multiply
    432,873x = 939,675 × 939,675
  4. Step 4: Simplify right side
    432,873x = 882,989,105,625
  5. Step 5: Solve for x
    x = 882,989,105,625/432,873
  6. Step 6: Final answer
    x = 2,039,834.10

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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.