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Finding the Third Proportional to 466,016 and 998,426

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Solution

The third proportional to 466,016 and 998,426 is: 2,139,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,016 : 998,426 = 998,426 : x
  2. Step 2: Convert to fraction form
    466,016/998,426 = 998,426/x
  3. Step 3: Cross multiply
    466,016x = 998,426 × 998,426
  4. Step 4: Simplify right side
    466,016x = 996,854,477,476
  5. Step 5: Solve for x
    x = 996,854,477,476/466,016
  6. Step 6: Final answer
    x = 2,139,099.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.