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Finding the Third Proportional to 2,546,408 and 5,540,656

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Solution

The third proportional to 2,546,408 and 5,540,656 is: 12,055,754.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546,408 : 5,540,656 = 5,540,656 : x
  2. Step 2: Convert to fraction form
    2,546,408/5,540,656 = 5,540,656/x
  3. Step 3: Cross multiply
    2,546,408x = 5,540,656 × 5,540,656
  4. Step 4: Simplify right side
    2,546,408x = 30,698,868,910,336
  5. Step 5: Solve for x
    x = 30,698,868,910,336/2,546,408
  6. Step 6: Final answer
    x = 12,055,754.19

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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.