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Finding the Third Proportional to 2,523,598.50 and 3,815,505

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Solution

The third proportional to 2,523,598.50 and 3,815,505 is: 5,768,777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523,598.50 : 3,815,505 = 3,815,505 : x
  2. Step 2: Convert to fraction form
    2,523,598.50/3,815,505 = 3,815,505/x
  3. Step 3: Cross multiply
    2,523,598.50x = 3,815,505 × 3,815,505
  4. Step 4: Simplify right side
    2,523,598.50x = 14,558,078,405,025
  5. Step 5: Solve for x
    x = 14,558,078,405,025/2,523,598.50
  6. Step 6: Final answer
    x = 5,768,777.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.