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Finding the Third Proportional to 436,264 and 922,828

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Solution

The third proportional to 436,264 and 922,828 is: 1,952,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,264 : 922,828 = 922,828 : x
  2. Step 2: Convert to fraction form
    436,264/922,828 = 922,828/x
  3. Step 3: Cross multiply
    436,264x = 922,828 × 922,828
  4. Step 4: Simplify right side
    436,264x = 851,611,517,584
  5. Step 5: Solve for x
    x = 851,611,517,584/436,264
  6. Step 6: Final answer
    x = 1,952,055.45

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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.