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Finding the Third Proportional to 436,259 and 922,818

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Solution

The third proportional to 436,259 and 922,818 is: 1,952,035.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,259 : 922,818 = 922,818 : x
  2. Step 2: Convert to fraction form
    436,259/922,818 = 922,818/x
  3. Step 3: Cross multiply
    436,259x = 922,818 × 922,818
  4. Step 4: Simplify right side
    436,259x = 851,593,061,124
  5. Step 5: Solve for x
    x = 851,593,061,124/436,259
  6. Step 6: Final answer
    x = 1,952,035.51

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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.