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Finding the Third Proportional to 422,113 and 924,273

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Solution

The third proportional to 422,113 and 924,273 is: 2,023,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,113 : 924,273 = 924,273 : x
  2. Step 2: Convert to fraction form
    422,113/924,273 = 924,273/x
  3. Step 3: Cross multiply
    422,113x = 924,273 × 924,273
  4. Step 4: Simplify right side
    422,113x = 854,280,578,529
  5. Step 5: Solve for x
    x = 854,280,578,529/422,113
  6. Step 6: Final answer
    x = 2,023,819.64

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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.