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Finding the Third Proportional to 432,812 and 941,836

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Solution

The third proportional to 432,812 and 941,836 is: 2,049,515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,812 : 941,836 = 941,836 : x
  2. Step 2: Convert to fraction form
    432,812/941,836 = 941,836/x
  3. Step 3: Cross multiply
    432,812x = 941,836 × 941,836
  4. Step 4: Simplify right side
    432,812x = 887,055,050,896
  5. Step 5: Solve for x
    x = 887,055,050,896/432,812
  6. Step 6: Final answer
    x = 2,049,515.84

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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.