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Finding the Third Proportional to 419,628 and 898,152

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Solution

The third proportional to 419,628 and 898,152 is: 1,922,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,628 : 898,152 = 898,152 : x
  2. Step 2: Convert to fraction form
    419,628/898,152 = 898,152/x
  3. Step 3: Cross multiply
    419,628x = 898,152 × 898,152
  4. Step 4: Simplify right side
    419,628x = 806,677,015,104
  5. Step 5: Solve for x
    x = 806,677,015,104/419,628
  6. Step 6: Final answer
    x = 1,922,362.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.