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Finding the Third Proportional to 437,832 and 945,520

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Solution

The third proportional to 437,832 and 945,520 is: 2,041,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,832 : 945,520 = 945,520 : x
  2. Step 2: Convert to fraction form
    437,832/945,520 = 945,520/x
  3. Step 3: Cross multiply
    437,832x = 945,520 × 945,520
  4. Step 4: Simplify right side
    437,832x = 894,008,070,400
  5. Step 5: Solve for x
    x = 894,008,070,400/437,832
  6. Step 6: Final answer
    x = 2,041,897.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.