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Finding the Third Proportional to 1,515,727.69 and 3,274,337.67

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Solution

The third proportional to 1,515,727.69 and 3,274,337.67 is: 7,073,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515,727.69 : 3,274,337.67 = 3,274,337.67 : x
  2. Step 2: Convert to fraction form
    1,515,727.69/3,274,337.67 = 3,274,337.67/x
  3. Step 3: Cross multiply
    1,515,727.69x = 3,274,337.67 × 3,274,337.67
  4. Step 4: Simplify right side
    1,515,727.69x = 10,721,287,189,459.79
  5. Step 5: Solve for x
    x = 10,721,287,189,459.79/1,515,727.69
  6. Step 6: Final answer
    x = 7,073,359.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.