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Finding the Third Proportional to 436,262 and 922,824

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Solution

The third proportional to 436,262 and 922,824 is: 1,952,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,262 : 922,824 = 922,824 : x
  2. Step 2: Convert to fraction form
    436,262/922,824 = 922,824/x
  3. Step 3: Cross multiply
    436,262x = 922,824 × 922,824
  4. Step 4: Simplify right side
    436,262x = 851,604,134,976
  5. Step 5: Solve for x
    x = 851,604,134,976/436,262
  6. Step 6: Final answer
    x = 1,952,047.47

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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.