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Finding the Third Proportional to 2,272,620 and 4,860,438

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Solution

The third proportional to 2,272,620 and 4,860,438 is: 10,394,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272,620 : 4,860,438 = 4,860,438 : x
  2. Step 2: Convert to fraction form
    2,272,620/4,860,438 = 4,860,438/x
  3. Step 3: Cross multiply
    2,272,620x = 4,860,438 × 4,860,438
  4. Step 4: Simplify right side
    2,272,620x = 23,623,857,551,844
  5. Step 5: Solve for x
    x = 23,623,857,551,844/2,272,620
  6. Step 6: Final answer
    x = 10,394,987.97

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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.