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Finding the Third Proportional to 2,259,148.50 and 3,393,654.75

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Solution

The third proportional to 2,259,148.50 and 3,393,654.75 is: 5,097,890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259,148.50 : 3,393,654.75 = 3,393,654.75 : x
  2. Step 2: Convert to fraction form
    2,259,148.50/3,393,654.75 = 3,393,654.75/x
  3. Step 3: Cross multiply
    2,259,148.50x = 3,393,654.75 × 3,393,654.75
  4. Step 4: Simplify right side
    2,259,148.50x = 11,516,892,562,197.56
  5. Step 5: Solve for x
    x = 11,516,892,562,197.56/2,259,148.50
  6. Step 6: Final answer
    x = 5,097,890.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.