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Finding the Third Proportional to 435,272 and 936,912

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Solution

The third proportional to 435,272 and 936,912 is: 2,016,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,272 : 936,912 = 936,912 : x
  2. Step 2: Convert to fraction form
    435,272/936,912 = 936,912/x
  3. Step 3: Cross multiply
    435,272x = 936,912 × 936,912
  4. Step 4: Simplify right side
    435,272x = 877,804,095,744
  5. Step 5: Solve for x
    x = 877,804,095,744/435,272
  6. Step 6: Final answer
    x = 2,016,679.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.