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Finding the Third Proportional to 435,912 and 919,152

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Solution

The third proportional to 435,912 and 919,152 is: 1,938,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,912 : 919,152 = 919,152 : x
  2. Step 2: Convert to fraction form
    435,912/919,152 = 919,152/x
  3. Step 3: Cross multiply
    435,912x = 919,152 × 919,152
  4. Step 4: Simplify right side
    435,912x = 844,840,399,104
  5. Step 5: Solve for x
    x = 844,840,399,104/435,912
  6. Step 6: Final answer
    x = 1,938,098.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.