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Finding the Third Proportional to 437,834 and 945,524

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Solution

The third proportional to 437,834 and 945,524 is: 2,041,905.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,834 : 945,524 = 945,524 : x
  2. Step 2: Convert to fraction form
    437,834/945,524 = 945,524/x
  3. Step 3: Cross multiply
    437,834x = 945,524 × 945,524
  4. Step 4: Simplify right side
    437,834x = 894,015,634,576
  5. Step 5: Solve for x
    x = 894,015,634,576/437,834
  6. Step 6: Final answer
    x = 2,041,905.46

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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.