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Finding the Third Proportional to 452,178 and 982,116

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Solution

The third proportional to 452,178 and 982,116 is: 2,133,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,178 : 982,116 = 982,116 : x
  2. Step 2: Convert to fraction form
    452,178/982,116 = 982,116/x
  3. Step 3: Cross multiply
    452,178x = 982,116 × 982,116
  4. Step 4: Simplify right side
    452,178x = 964,551,837,456
  5. Step 5: Solve for x
    x = 964,551,837,456/452,178
  6. Step 6: Final answer
    x = 2,133,124.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.