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Finding the Third Proportional to 2,262,900 and 4,924,317

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Solution

The third proportional to 2,262,900 and 4,924,317 is: 10,715,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262,900 : 4,924,317 = 4,924,317 : x
  2. Step 2: Convert to fraction form
    2,262,900/4,924,317 = 4,924,317/x
  3. Step 3: Cross multiply
    2,262,900x = 4,924,317 × 4,924,317
  4. Step 4: Simplify right side
    2,262,900x = 24,248,897,916,489
  5. Step 5: Solve for x
    x = 24,248,897,916,489/2,262,900
  6. Step 6: Final answer
    x = 10,715,850.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.