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Finding the Third Proportional to 982,901 and 1,483,372

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Solution

The third proportional to 982,901 and 1,483,372 is: 2,238,671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,901 : 1,483,372 = 1,483,372 : x
  2. Step 2: Convert to fraction form
    982,901/1,483,372 = 1,483,372/x
  3. Step 3: Cross multiply
    982,901x = 1,483,372 × 1,483,372
  4. Step 4: Simplify right side
    982,901x = 2,200,392,490,384
  5. Step 5: Solve for x
    x = 2,200,392,490,384/982,901
  6. Step 6: Final answer
    x = 2,238,671.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.