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Finding the Third Proportional to 434,987 and 922,198

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Solution

The third proportional to 434,987 and 922,198 is: 1,955,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,987 : 922,198 = 922,198 : x
  2. Step 2: Convert to fraction form
    434,987/922,198 = 922,198/x
  3. Step 3: Cross multiply
    434,987x = 922,198 × 922,198
  4. Step 4: Simplify right side
    434,987x = 850,449,151,204
  5. Step 5: Solve for x
    x = 850,449,151,204/434,987
  6. Step 6: Final answer
    x = 1,955,113.95

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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.