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Finding the Third Proportional to 2,184,438 and 4,788,782

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Solution

The third proportional to 2,184,438 and 4,788,782 is: 10,498,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,438 : 4,788,782 = 4,788,782 : x
  2. Step 2: Convert to fraction form
    2,184,438/4,788,782 = 4,788,782/x
  3. Step 3: Cross multiply
    2,184,438x = 4,788,782 × 4,788,782
  4. Step 4: Simplify right side
    2,184,438x = 22,932,433,043,524
  5. Step 5: Solve for x
    x = 22,932,433,043,524/2,184,438
  6. Step 6: Final answer
    x = 10,498,092.89

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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.