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Finding the Third Proportional to 464,052 and 983,016

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Solution

The third proportional to 464,052 and 983,016 is: 2,082,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,052 : 983,016 = 983,016 : x
  2. Step 2: Convert to fraction form
    464,052/983,016 = 983,016/x
  3. Step 3: Cross multiply
    464,052x = 983,016 × 983,016
  4. Step 4: Simplify right side
    464,052x = 966,320,456,256
  5. Step 5: Solve for x
    x = 966,320,456,256/464,052
  6. Step 6: Final answer
    x = 2,082,353.82

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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.