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Finding the Third Proportional to 667,048.50 and 1,458,654.75

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Solution

The third proportional to 667,048.50 and 1,458,654.75 is: 3,189,683.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,048.50 : 1,458,654.75 = 1,458,654.75 : x
  2. Step 2: Convert to fraction form
    667,048.50/1,458,654.75 = 1,458,654.75/x
  3. Step 3: Cross multiply
    667,048.50x = 1,458,654.75 × 1,458,654.75
  4. Step 4: Simplify right side
    667,048.50x = 2,127,673,679,697.56
  5. Step 5: Solve for x
    x = 2,127,673,679,697.56/667,048.50
  6. Step 6: Final answer
    x = 3,189,683.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.