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Finding the Third Proportional to 2,458,408 and 5,365,124

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Solution

The third proportional to 2,458,408 and 5,365,124 is: 11,708,616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458,408 : 5,365,124 = 5,365,124 : x
  2. Step 2: Convert to fraction form
    2,458,408/5,365,124 = 5,365,124/x
  3. Step 3: Cross multiply
    2,458,408x = 5,365,124 × 5,365,124
  4. Step 4: Simplify right side
    2,458,408x = 28,784,555,535,376
  5. Step 5: Solve for x
    x = 28,784,555,535,376/2,458,408
  6. Step 6: Final answer
    x = 11,708,616.12

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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.