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Finding the Third Proportional to 432,742 and 938,474

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Solution

The third proportional to 432,742 and 938,474 is: 2,035,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,742 : 938,474 = 938,474 : x
  2. Step 2: Convert to fraction form
    432,742/938,474 = 938,474/x
  3. Step 3: Cross multiply
    432,742x = 938,474 × 938,474
  4. Step 4: Simplify right side
    432,742x = 880,733,448,676
  5. Step 5: Solve for x
    x = 880,733,448,676/432,742
  6. Step 6: Final answer
    x = 2,035,239.12

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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.