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Finding the Third Proportional to 982,314 and 1,467,411

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Solution

The third proportional to 982,314 and 1,467,411 is: 2,192,063.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,314 : 1,467,411 = 1,467,411 : x
  2. Step 2: Convert to fraction form
    982,314/1,467,411 = 1,467,411/x
  3. Step 3: Cross multiply
    982,314x = 1,467,411 × 1,467,411
  4. Step 4: Simplify right side
    982,314x = 2,153,295,042,921
  5. Step 5: Solve for x
    x = 2,153,295,042,921/982,314
  6. Step 6: Final answer
    x = 2,192,063.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.