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Finding the Third Proportional to 435,888 and 919,104

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Solution

The third proportional to 435,888 and 919,104 is: 1,938,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,888 : 919,104 = 919,104 : x
  2. Step 2: Convert to fraction form
    435,888/919,104 = 919,104/x
  3. Step 3: Cross multiply
    435,888x = 919,104 × 919,104
  4. Step 4: Simplify right side
    435,888x = 844,752,162,816
  5. Step 5: Solve for x
    x = 844,752,162,816/435,888
  6. Step 6: Final answer
    x = 1,938,002.80

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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.