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Finding the Third Proportional to 2,676,342.94 and 3,815,224.03

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Solution

The third proportional to 2,676,342.94 and 3,815,224.03 is: 5,438,740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676,342.94 : 3,815,224.03 = 3,815,224.03 : x
  2. Step 2: Convert to fraction form
    2,676,342.94/3,815,224.03 = 3,815,224.03/x
  3. Step 3: Cross multiply
    2,676,342.94x = 3,815,224.03 × 3,815,224.03
  4. Step 4: Simplify right side
    2,676,342.94x = 14,555,934,408,627.50
  5. Step 5: Solve for x
    x = 14,555,934,408,627.50/2,676,342.94
  6. Step 6: Final answer
    x = 5,438,740.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.