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Finding the Third Proportional to 463,022 and 982,888

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Solution

The third proportional to 463,022 and 982,888 is: 2,086,442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,022 : 982,888 = 982,888 : x
  2. Step 2: Convert to fraction form
    463,022/982,888 = 982,888/x
  3. Step 3: Cross multiply
    463,022x = 982,888 × 982,888
  4. Step 4: Simplify right side
    463,022x = 966,068,820,544
  5. Step 5: Solve for x
    x = 966,068,820,544/463,022
  6. Step 6: Final answer
    x = 2,086,442.59

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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.