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Finding the Third Proportional to 435,288 and 922,824

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Solution

The third proportional to 435,288 and 922,824 is: 1,956,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,288 : 922,824 = 922,824 : x
  2. Step 2: Convert to fraction form
    435,288/922,824 = 922,824/x
  3. Step 3: Cross multiply
    435,288x = 922,824 × 922,824
  4. Step 4: Simplify right side
    435,288x = 851,604,134,976
  5. Step 5: Solve for x
    x = 851,604,134,976/435,288
  6. Step 6: Final answer
    x = 1,956,415.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.