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Finding the Third Proportional to 2,541,408 and 5,580,480

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Solution

The third proportional to 2,541,408 and 5,580,480 is: 12,253,741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541,408 : 5,580,480 = 5,580,480 : x
  2. Step 2: Convert to fraction form
    2,541,408/5,580,480 = 5,580,480/x
  3. Step 3: Cross multiply
    2,541,408x = 5,580,480 × 5,580,480
  4. Step 4: Simplify right side
    2,541,408x = 31,141,757,030,400
  5. Step 5: Solve for x
    x = 31,141,757,030,400/2,541,408
  6. Step 6: Final answer
    x = 12,253,741.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.