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Finding the Third Proportional to 432,728 and 941,656

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Solution

The third proportional to 432,728 and 941,656 is: 2,049,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,728 : 941,656 = 941,656 : x
  2. Step 2: Convert to fraction form
    432,728/941,656 = 941,656/x
  3. Step 3: Cross multiply
    432,728x = 941,656 × 941,656
  4. Step 4: Simplify right side
    432,728x = 886,716,022,336
  5. Step 5: Solve for x
    x = 886,716,022,336/432,728
  6. Step 6: Final answer
    x = 2,049,130.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.