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Finding the Third Proportional to 422,063 and 924,171

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Solution

The third proportional to 422,063 and 924,171 is: 2,023,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,063 : 924,171 = 924,171 : x
  2. Step 2: Convert to fraction form
    422,063/924,171 = 924,171/x
  3. Step 3: Cross multiply
    422,063x = 924,171 × 924,171
  4. Step 4: Simplify right side
    422,063x = 854,092,037,241
  5. Step 5: Solve for x
    x = 854,092,037,241/422,063
  6. Step 6: Final answer
    x = 2,023,612.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.