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Finding the Third Proportional to 463,020 and 982,884

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Solution

The third proportional to 463,020 and 982,884 is: 2,086,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,020 : 982,884 = 982,884 : x
  2. Step 2: Convert to fraction form
    463,020/982,884 = 982,884/x
  3. Step 3: Cross multiply
    463,020x = 982,884 × 982,884
  4. Step 4: Simplify right side
    463,020x = 966,060,957,456
  5. Step 5: Solve for x
    x = 966,060,957,456/463,020
  6. Step 6: Final answer
    x = 2,086,434.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.