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Finding the Third Proportional to 422,952 and 998,080

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Solution

The third proportional to 422,952 and 998,080 is: 2,355,264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,952 : 998,080 = 998,080 : x
  2. Step 2: Convert to fraction form
    422,952/998,080 = 998,080/x
  3. Step 3: Cross multiply
    422,952x = 998,080 × 998,080
  4. Step 4: Simplify right side
    422,952x = 996,163,686,400
  5. Step 5: Solve for x
    x = 996,163,686,400/422,952
  6. Step 6: Final answer
    x = 2,355,264.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.