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Finding the Third Proportional to 624,096 and 941,763

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Solution

The third proportional to 624,096 and 941,763 is: 1,421,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,096 : 941,763 = 941,763 : x
  2. Step 2: Convert to fraction form
    624,096/941,763 = 941,763/x
  3. Step 3: Cross multiply
    624,096x = 941,763 × 941,763
  4. Step 4: Simplify right side
    624,096x = 886,917,548,169
  5. Step 5: Solve for x
    x = 886,917,548,169/624,096
  6. Step 6: Final answer
    x = 1,421,123.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.