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Finding the Third Proportional to 2,498,214 and 5,375,319

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Solution

The third proportional to 2,498,214 and 5,375,319 is: 11,565,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498,214 : 5,375,319 = 5,375,319 : x
  2. Step 2: Convert to fraction form
    2,498,214/5,375,319 = 5,375,319/x
  3. Step 3: Cross multiply
    2,498,214x = 5,375,319 × 5,375,319
  4. Step 4: Simplify right side
    2,498,214x = 28,894,054,351,761
  5. Step 5: Solve for x
    x = 28,894,054,351,761/2,498,214
  6. Step 6: Final answer
    x = 11,565,884.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.