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Finding the Third Proportional to 436,764 and 947,832

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Solution

The third proportional to 436,764 and 947,832 is: 2,056,912.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,764 : 947,832 = 947,832 : x
  2. Step 2: Convert to fraction form
    436,764/947,832 = 947,832/x
  3. Step 3: Cross multiply
    436,764x = 947,832 × 947,832
  4. Step 4: Simplify right side
    436,764x = 898,385,500,224
  5. Step 5: Solve for x
    x = 898,385,500,224/436,764
  6. Step 6: Final answer
    x = 2,056,912.89

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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.