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Finding the Third Proportional to 459,780 and 982,662

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Solution

The third proportional to 459,780 and 982,662 is: 2,100,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,780 : 982,662 = 982,662 : x
  2. Step 2: Convert to fraction form
    459,780/982,662 = 982,662/x
  3. Step 3: Cross multiply
    459,780x = 982,662 × 982,662
  4. Step 4: Simplify right side
    459,780x = 965,624,606,244
  5. Step 5: Solve for x
    x = 965,624,606,244/459,780
  6. Step 6: Final answer
    x = 2,100,188.36

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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.